Search a number
-
+
4020265900 = 2252759311313
BaseRepresentation
bin1110111110100000…
…0110001110101100
3101101011211200001001
43233220012032230
531213142002100
61502532130044
7201424460560
oct35750061654
911334750031
104020265900
111783376302
12942466924
134c0b98b81
142a1d0b6a0
15187e29d6a
hexefa063ac

4020265900 has 144 divisors (see below), whose sum is σ = 10204346880. Its totient is φ = 1346342400.

The previous prime is 4020265897. The next prime is 4020265973. The reversal of 4020265900 is 95620204.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12844144 + ... + 12844456.

It is an arithmetic number, because the mean of its divisors is an integer number (70863520).

Almost surely, 24020265900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4020265900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5102173440).

4020265900 is an abundant number, since it is smaller than the sum of its proper divisors (6184080980).

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

4020265900 is a wasteful number, since it uses less digits than its factorization.

4020265900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 4020265900 is about 63405.5667903064. The cubic root of 4020265900 is about 1590.0773797765.

The spelling of 4020265900 in words is "four billion, twenty million, two hundred sixty-five thousand, nine hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 59 70 100 118 140 175 236 295 311 313 350 413 590 622 626 700 826 1180 1244 1252 1475 1555 1565 1652 2065 2177 2191 2950 3110 3130 4130 4354 4382 5900 6220 6260 7775 7825 8260 8708 8764 10325 10885 10955 15550 15650 18349 18467 20650 21770 21910 31100 31300 36698 36934 41300 43540 43820 54425 54775 73396 73868 91745 92335 97343 108850 109550 128443 129269 183490 184670 194686 217700 219100 256886 258538 366980 369340 389372 458725 461675 486715 513772 517076 642215 646345 681401 917450 923350 973430 1284430 1292690 1362802 1834900 1846700 1946860 2433575 2568860 2585380 2725604 3211075 3231725 3407005 4867150 5743237 6422150 6463450 6814010 9734300 11486474 12844300 12926900 13628020 17035025 22972948 28716185 34070050 40202659 57432370 68140100 80405318 114864740 143580925 160810636 201013295 287161850 402026590 574323700 804053180 1005066475 2010132950 4020265900