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465046140 = 223513797547
BaseRepresentation
bin11011101110000…
…000101001111100
31012102001210101010
4123232000221330
51423022434030
6114051315220
714344553436
oct3356005174
91172053333
10465046140
11219563059
1210b8abb10
1375467340
1445a97656
152ac616b0
hex1bb80a7c

465046140 has 96 divisors (see below), whose sum is σ = 1420231680. Its totient is φ = 113008896.

The previous prime is 465046123. The next prime is 465046151. The reversal of 465046140 is 41640564.

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 = 465046098 and 465046107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57847 + ... + 65393.

It is an arithmetic number, because the mean of its divisors is an integer number (14794080).

Almost surely, 2465046140 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 465046140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710115840).

465046140 is an abundant number, since it is smaller than the sum of its proper divisors (955185540).

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

465046140 is a wasteful number, since it uses less digits than its factorization.

465046140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7651 (or 7649 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 465046140 is about 21564.9284719426. The cubic root of 465046140 is about 774.7567130911.

The spelling of 465046140 in words is "four hundred sixty-five million, forty-six thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 79 130 156 158 195 237 260 316 390 395 474 780 790 948 1027 1185 1580 2054 2370 3081 4108 4740 5135 6162 7547 10270 12324 15094 15405 20540 22641 30188 30810 37735 45282 61620 75470 90564 98111 113205 150940 196222 226410 294333 392444 452820 490555 588666 596213 981110 1177332 1192426 1471665 1788639 1962220 2384852 2943330 2981065 3577278 5886660 5962130 7154556 7750769 8943195 11924260 15501538 17886390 23252307 31003076 35772780 38753845 46504614 77507690 93009228 116261535 155015380 232523070 465046140