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40001136 = 24371747149
BaseRepresentation
bin1001100010010…
…1111001110000
32210021021020120
42120211321300
540220014021
63545210240
7664001250
oct230457160
983237216
1040001136
112064149a
1211490980
138397216
145453960
1537a22c6
hex2625e70

40001136 has 160 divisors (see below), whose sum is σ = 128563200. Its totient is φ = 10457088.

The previous prime is 40001111. The next prime is 40001161. The reversal of 40001136 is 63110004.

It is an interprime number because it is at equal distance from previous prime (40001111) and next prime (40001161).

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, 268390 + ... + 268538.

It is an arithmetic number, because the mean of its divisors is an integer number (803520).

Almost surely, 240001136 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 40001136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64281600).

40001136 is an abundant number, since it is smaller than the sum of its proper divisors (88562064).

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

40001136 is a wasteful number, since it uses less digits than its factorization.

40001136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 40001136 is about 6324.6451283847. The cubic root of 40001136 is about 341.9984268592.

The spelling of 40001136 in words is "forty million, one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 34 42 47 48 51 56 68 84 94 102 112 119 136 141 149 168 188 204 238 272 282 298 329 336 357 376 408 447 476 564 596 658 714 752 799 816 894 952 987 1043 1128 1192 1316 1428 1598 1788 1904 1974 2086 2256 2384 2397 2533 2632 2856 3129 3196 3576 3948 4172 4794 5066 5264 5593 5712 6258 6392 7003 7152 7599 7896 8344 9588 10132 11186 12516 12784 14006 15198 15792 16688 16779 17731 19176 20264 21009 22372 25032 28012 30396 33558 35462 38352 40528 42018 44744 49021 50064 53193 56024 60792 67116 70924 84036 89488 98042 106386 112048 119051 121584 134232 141848 147063 168072 196084 212772 238102 268464 283696 294126 336144 357153 392168 425544 476204 588252 714306 784336 833357 851088 952408 1176504 1428612 1666714 1904816 2353008 2500071 2857224 3333428 5000142 5714448 6666856 10000284 13333712 20000568 40001136