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51191420 = 225717137157
BaseRepresentation
bin1100001101000…
…1111001111100
310120022210102112
43003101321330
5101101111140
65025113152
71161056060
oct303217174
9116283375
1051191420
1126994965
12151887b8
13a7b47a7
146b27aa0
154762c65
hex30d1e7c

51191420 has 96 divisors (see below), whose sum is σ = 131870592. Its totient is φ = 16293888.

The previous prime is 51191419. The next prime is 51191429. The reversal of 51191420 is 2419115.

It is a happy number.

It is a super-2 number, since 2×511914202 = 5241122963232800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51191429) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 325982 + ... + 326138.

It is an arithmetic number, because the mean of its divisors is an integer number (1373652).

Almost surely, 251191420 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 51191420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65935296).

51191420 is an abundant number, since it is smaller than the sum of its proper divisors (80679172).

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

51191420 is a wasteful number, since it uses less digits than its factorization.

51191420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 23.

The square root of 51191420 is about 7154.8179571531. The cubic root of 51191420 is about 371.3063634302.

The spelling of 51191420 in words is "fifty-one million, one hundred ninety-one thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 68 70 85 119 137 140 157 170 238 274 314 340 476 548 595 628 685 785 959 1099 1190 1370 1570 1918 2198 2329 2380 2669 2740 3140 3836 4396 4658 4795 5338 5495 9316 9590 10676 10990 11645 13345 16303 18683 19180 21509 21980 23290 26690 32606 37366 43018 46580 53380 65212 74732 81515 86036 93415 107545 150563 163030 186830 215090 301126 326060 365653 373660 430180 602252 731306 752815 1462612 1505630 1828265 2559571 3011260 3656530 5119142 7313060 10238284 12797855 25595710 51191420