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4012840920 = 2335113782163
BaseRepresentation
bin1110111100101111…
…0001011111011000
3101100122212102212210
43233023301133120
531204241402140
61502105035120
7201304404444
oct35713613730
911318772783
104012840920
11177a164860
1293ba85aa0
134bc4993aa
142a0d37824
1518745ed80
hexef2f17d8

4012840920 has 128 divisors (see below), whose sum is σ = 13488042240. Its totient is φ = 946506240.

The previous prime is 4012840891. The next prime is 4012840933. The reversal of 4012840920 is 290482104.

It is a super-2 number, since 2×40128409202 = 32205784498452892800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 7759 + ... + 89921.

It is an arithmetic number, because the mean of its divisors is an integer number (105375330).

Almost surely, 24012840920 is an apocalyptic number.

4012840920 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 4012840920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6744021120).

4012840920 is an abundant number, since it is smaller than the sum of its proper divisors (9475201320).

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

4012840920 is a wasteful number, since it uses less digits than its factorization.

4012840920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82225 (or 82221 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 4012840920 is about 63346.9882472719. The cubic root of 4012840920 is about 1589.0978783535.

The spelling of 4012840920 in words is "four billion, twelve million, eight hundred forty thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 37 40 44 55 60 66 74 88 110 111 120 132 148 165 185 220 222 264 296 330 370 407 440 444 555 660 740 814 888 1110 1221 1320 1480 1628 2035 2220 2442 3256 4070 4440 4884 6105 8140 9768 12210 16280 24420 48840 82163 164326 246489 328652 410815 492978 657304 821630 903793 985956 1232445 1643260 1807586 1971912 2464890 2711379 3040031 3286520 3615172 4518965 4929780 5422758 6080062 7230344 9037930 9120093 9859560 10845516 12160124 13556895 15200155 18075860 18240186 21691032 24320248 27113790 30400310 33440341 36151720 36480372 45600465 54227580 60800620 66880682 72960744 91200930 100321023 108455160 121601240 133761364 167201705 182401860 200642046 267522728 334403410 364803720 401284092 501605115 668806820 802568184 1003210230 1337613640 2006420460 4012840920