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20155464 = 23327229197
BaseRepresentation
bin100110011100…
…0110001001000
31101221000002200
41030320301020
520124433324
62000000200
7333214200
oct114706110
941830080
1020155464
111041710a
126900060
134239114
142969400
151b81ec9
hex1338c48

20155464 has 144 divisors (see below), whose sum is σ = 66023100. Its totient is φ = 5531904.

The previous prime is 20155441. The next prime is 20155481. The reversal of 20155464 is 46455102.

It can be written as a sum of positive squares in 2 ways, for example, as 17994564 + 2160900 = 4242^2 + 1470^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 102214 + ... + 102410.

Almost surely, 220155464 is an apocalyptic number.

20155464 is a gapful number since it is divisible by the number (24) 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 20155464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33011550).

20155464 is an abundant number, since it is smaller than the sum of its proper divisors (45867636).

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

20155464 is a wasteful number, since it uses less digits than its factorization.

20155464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 20155464 is about 4489.4837119651. The cubic root of 20155464 is about 272.1432708307.

The spelling of 20155464 in words is "twenty million, one hundred fifty-five thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 29 36 42 49 56 58 63 72 84 87 98 116 126 147 168 174 196 197 203 232 252 261 294 348 392 394 406 441 504 522 588 591 609 696 788 812 882 1044 1176 1182 1218 1379 1421 1576 1624 1764 1773 1827 2088 2364 2436 2758 2842 3528 3546 3654 4137 4263 4728 4872 5516 5684 5713 7092 7308 8274 8526 9653 11032 11368 11426 12411 12789 14184 14616 16548 17052 17139 19306 22852 24822 25578 28959 33096 34104 34278 38612 39991 45704 49644 51156 51417 57918 68556 77224 79982 86877 99288 102312 102834 115836 119973 137112 159964 173754 205668 231672 239946 279937 319928 347508 359919 411336 479892 559874 695016 719838 839811 959784 1119748 1439676 1679622 2239496 2519433 2879352 3359244 5038866 6718488 10077732 20155464