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467940132 = 2233111920731
BaseRepresentation
bin11011111001000…
…011001100100100
31012121111211012000
4123321003030210
51424243041012
6114233325300
714411265642
oct3371031444
91177454160
10467940132
1122015a390
12110866830
1375c3b66a
144620c192
152b133ddc
hex1be43324

467940132 has 96 divisors (see below), whose sum is σ = 1393190400. Its totient is φ = 134330400.

The previous prime is 467940107. The next prime is 467940157. The reversal of 467940132 is 231049764.

It is an interprime number because it is at equal distance from previous prime (467940107) and next prime (467940157).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 12207 + ... + 32937.

It is an arithmetic number, because the mean of its divisors is an integer number (14512400).

Almost surely, 2467940132 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 467940132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696595200).

467940132 is an abundant number, since it is smaller than the sum of its proper divisors (925250268).

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

467940132 is a wasteful number, since it uses less digits than its factorization.

467940132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20774 (or 20766 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 467940132 is about 21631.9239088898. The cubic root of 467940132 is about 776.3605000341.

Adding to 467940132 its reverse (231049764), we get a palindrome (698989896).

The spelling of 467940132 in words is "four hundred sixty-seven million, nine hundred forty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 27 33 36 38 44 54 57 66 76 99 108 114 132 171 198 209 228 297 342 396 418 513 594 627 684 836 1026 1188 1254 1881 2052 2508 3762 5643 7524 11286 20731 22572 41462 62193 82924 124386 186579 228041 248772 373158 393889 456082 559737 684123 746316 787778 912164 1119474 1181667 1368246 1575556 2052369 2238948 2363334 2736492 3545001 4104738 4332779 4726668 6157107 7090002 8209476 8665558 10635003 12314214 12998337 14180004 17331116 21270006 24628428 25996674 38995011 42540012 51993348 77990022 116985033 155980044 233970066 467940132