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252005411420 = 22572318295109
BaseRepresentation
bin1110101010110010110…
…0010110101001011100
3220002110200122022102022
43222230230112221130
513112101341131140
6311434130315312
724130633440200
oct3525454265134
9802420568368
10252005411420
1197969537564
1240a10128b38
131a9c16ac379
14c2a8cb8b00
15684ddea0b5
hex3aacb16a5c

252005411420 has 72 divisors (see below), whose sum is σ = 635471786880. Its totient is φ = 83614688640.

The previous prime is 252005411419. The next prime is 252005411423. The reversal of 252005411420 is 24114500252.

It is a self number, because there is not a number n which added to its sum of digits gives 252005411420.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252005411423) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4117175 + ... + 4177934.

It is an arithmetic number, because the mean of its divisors is an integer number (8825997040).

Almost surely, 2252005411420 is an apocalyptic number.

252005411420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252005411420 is an abundant number, since it is smaller than the sum of its proper divisors (383466375460).

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

252005411420 is a wasteful number, since it uses less digits than its factorization.

252005411420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8295163 (or 8295154 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 26.

Adding to 252005411420 its reverse (24114500252), we get a palindrome (276119911672).

The spelling of 252005411420 in words is "two hundred fifty-two billion, five million, four hundred eleven thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 49 62 70 98 124 140 155 196 217 245 310 434 490 620 868 980 1085 1519 2170 3038 4340 6076 7595 15190 30380 8295109 16590218 33180436 41475545 58065763 82951090 116131526 165902180 232263052 257148379 290328815 406460341 514296758 580657630 812920682 1028593516 1161315260 1285741895 1625841364 1800038653 2032301705 2571483790 3600077306 4064603410 5142967580 7200154612 8129206820 9000193265 12600270571 18000386530 25200541142 36000773060 50401082284 63001352855 126002705710 252005411420