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465103740 = 223529267301
BaseRepresentation
bin11011101110001…
…110101101111100
31012102011201101110
4123232032231330
51423031304430
6114052442020
714345213403
oct3356165574
91172151343
10465103740
112195a2362
1210b919310
137548761a
1445ab063a
152ac737b0
hex1bb8eb7c

465103740 has 48 divisors (see below), whose sum is σ = 1347202080. Its totient is φ = 119750400.

The previous prime is 465103729. The next prime is 465103759. The reversal of 465103740 is 47301564.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 465103698 and 465103707.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131911 + ... + 135390.

It is an arithmetic number, because the mean of its divisors is an integer number (28066710).

Almost surely, 2465103740 is an apocalyptic number.

It is an amenable number.

465103740 is an abundant number, since it is smaller than the sum of its proper divisors (882098340).

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

465103740 is a wasteful number, since it uses less digits than its factorization.

465103740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267342 (or 267340 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 465103740 is about 21566.2639323551. The cubic root of 465103740 is about 774.7886985513.

The spelling of 465103740 in words is "four hundred sixty-five million, one hundred three thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 116 145 174 290 348 435 580 870 1740 267301 534602 801903 1069204 1336505 1603806 2673010 3207612 4009515 5346020 7751729 8019030 15503458 16038060 23255187 31006916 38758645 46510374 77517290 93020748 116275935 155034580 232551870 465103740