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3995233620 = 2235724792837
BaseRepresentation
bin1110111000100010…
…0110110101010100
3101022102201220012120
43232020212311110
531140234433440
61500235415540
7201001632300
oct35610466524
911272656176
103995233620
111770229174
12935bb45b0
134b8943081
1429c872d00
15185b32dd0
hexee226d54

3995233620 has 144 divisors (see below), whose sum is σ = 13044810240. Its totient is φ = 910968576.

The previous prime is 3995233603. The next prime is 3995233667. The reversal of 3995233620 is 263325993.

3995233620 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 (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1406842 + ... + 1409678.

It is an arithmetic number, because the mean of its divisors is an integer number (90588960).

Almost surely, 23995233620 is an apocalyptic number.

3995233620 is a gapful number since it is divisible by the number (30) 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 3995233620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6522405120).

3995233620 is an abundant number, since it is smaller than the sum of its proper divisors (9049576620).

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

3995233620 is a wasteful number, since it uses less digits than its factorization.

3995233620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3342 (or 3333 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 42.

The square root of 3995233620 is about 63207.8604289055. The cubic root of 3995233620 is about 1586.7702883114.

The spelling of 3995233620 in words is "three billion, nine hundred ninety-five million, two hundred thirty-three thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 420 479 490 588 735 958 980 1437 1470 1916 2395 2837 2874 2940 3353 4790 5674 5748 6706 7185 8511 9580 10059 11348 13412 14185 14370 16765 17022 19859 20118 23471 28370 28740 33530 34044 39718 40236 42555 46942 50295 56740 59577 67060 70413 79436 85110 93884 99295 100590 117355 119154 139013 140826 170220 198590 201180 234710 238308 278026 281652 297885 352065 397180 417039 469420 556052 595770 695065 704130 834078 1191540 1358923 1390130 1408260 1668156 2085195 2717846 2780260 4076769 4170390 5435692 6794615 8153538 8340780 9512461 13589230 16307076 19024922 20383845 27178460 28537383 38049844 40767690 47562305 57074766 66587227 81535380 95124610 114149532 133174454 142686915 190249220 199761681 266348908 285373830 332936135 399523362 570747660 665872270 799046724 998808405 1331744540 1997616810 3995233620