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4020015440 = 2457192316427
BaseRepresentation
bin1110111110011100…
…1001000101010000
3101101011100221110202
43233213021011100
531213110443230
61502522514332
7201422365430
oct35747110520
911334327422
104020015440
111783215111
129423659a8
134c0b0bb7c
142a1c842c0
15187dcaa45
hexef9c9150

4020015440 has 160 divisors (see below), whose sum is σ = 11733534720. Its totient is φ = 1248901632.

The previous prime is 4020015431. The next prime is 4020015499. The reversal of 4020015440 is 445100204.

4020015440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 236507 + ... + 252933.

It is an arithmetic number, because the mean of its divisors is an integer number (73334592).

Almost surely, 24020015440 is an apocalyptic number.

4020015440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4020015440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5866767360).

4020015440 is an abundant number, since it is smaller than the sum of its proper divisors (7713519280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4020015440 is a wasteful number, since it uses less digits than its factorization.

4020015440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16489 (or 16483 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 4020015440 is about 63403.5916963700. The cubic root of 4020015440 is about 1590.0443588220.

Adding to 4020015440 its reverse (445100204), we get a palindrome (4465115644).

The spelling of 4020015440 in words is "four billion, twenty million, fifteen thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 23 28 35 38 40 46 56 70 76 80 92 95 112 115 133 140 152 161 184 190 230 266 280 304 322 368 380 437 460 532 560 644 665 760 805 874 920 1064 1288 1330 1520 1610 1748 1840 2128 2185 2576 2660 3059 3220 3496 4370 5320 6118 6440 6992 8740 10640 12236 12880 15295 16427 17480 24472 30590 32854 34960 48944 61180 65708 82135 114989 122360 131416 164270 229978 244720 262832 312113 328540 377821 459956 574945 624226 657080 755642 919912 1149890 1248452 1314160 1511284 1560565 1839824 1889105 2184791 2299780 2496904 2644747 3022568 3121130 3778210 4369582 4599560 4993808 5289494 6045136 6242260 7178599 7556420 8739164 9199120 10578988 10923955 12484520 13223735 14357198 15112840 17478328 21157976 21847910 24969040 26447470 28714396 30225680 34956656 35892995 42315952 43695820 50250193 52894940 57428792 71785990 87391640 100500386 105789880 114857584 143571980 174783280 201000772 211579760 251250965 287143960 402001544 502501930 574287920 804003088 1005003860 2010007720 4020015440