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40154136 = 233111723389
BaseRepresentation
bin1001100100101…
…1010000011000
32210120001010020
42121023100120
540234413021
63552350440
7665206311
oct231132030
983501106
1040154136
1120736440
1211545420
13841ba59
145493608
1537d27c6
hex264b418

40154136 has 128 divisors (see below), whose sum is σ = 121305600. Its totient is φ = 10926080.

The previous prime is 40154123. The next prime is 40154137. The reversal of 40154136 is 63145104.

It is a super-2 number, since 2×401541362 = 3224709275812992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40154137) 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, 103030 + ... + 103418.

It is an arithmetic number, because the mean of its divisors is an integer number (947700).

Almost surely, 240154136 is an apocalyptic number.

40154136 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40154136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60652800).

40154136 is an abundant number, since it is smaller than the sum of its proper divisors (81151464).

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

40154136 is a wasteful number, since it uses less digits than its factorization.

40154136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 40154136 is about 6336.7291247141. The cubic root of 40154136 is about 342.4339077187.

The spelling of 40154136 in words is "forty million, one hundred fifty-four thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 17 22 23 24 33 34 44 46 51 66 68 69 88 92 102 132 136 138 184 187 204 253 264 276 374 389 391 408 506 552 561 748 759 778 782 1012 1122 1167 1173 1496 1518 1556 1564 2024 2244 2334 2346 3036 3112 3128 4279 4301 4488 4668 4692 6072 6613 8558 8602 8947 9336 9384 12837 12903 13226 17116 17204 17894 19839 25674 25806 26452 26841 34232 34408 35788 39678 51348 51612 52904 53682 71576 72743 79356 98417 102696 103224 107364 145486 152099 158712 196834 214728 218229 290972 295251 304198 393668 436458 456297 581944 590502 608396 787336 872916 912594 1181004 1216792 1673089 1745832 1825188 2362008 3346178 3650376 5019267 6692356 10038534 13384712 20077068 40154136