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405012630 = 235114726113
BaseRepresentation
bin11000001001000…
…000000010010110
31001020002202212210
4120021000002112
51312140401010
6104104454250
713015356561
oct3011000226
91036082783
10405012630
11198689a90
12b377a386
1365ba8059
143bb0b4d8
1525853b20
hex18240096

405012630 has 64 divisors (see below), whose sum is σ = 1082999808. Its totient is φ = 96092160.

The previous prime is 405012581. The next prime is 405012631. The reversal of 405012630 is 36210504.

It is a happy number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 405012597 and 405012606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405012631) 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, 2454 + ... + 28566.

It is an arithmetic number, because the mean of its divisors is an integer number (16921872).

Almost surely, 2405012630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 405012630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541499904).

405012630 is an abundant number, since it is smaller than the sum of its proper divisors (677987178).

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

405012630 is a wasteful number, since it uses less digits than its factorization.

405012630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26181.

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 405012630 is about 20124.9255899246. The cubic root of 405012630 is about 739.8713131472.

The spelling of 405012630 in words is "four hundred five million, twelve thousand, six hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 47 55 66 94 110 141 165 235 282 330 470 517 705 1034 1410 1551 2585 3102 5170 7755 15510 26113 52226 78339 130565 156678 261130 287243 391695 574486 783390 861729 1227311 1436215 1723458 2454622 2872430 3681933 4308645 6136555 7363866 8617290 12273110 13500421 18409665 27000842 36819330 40501263 67502105 81002526 135004210 202506315 405012630