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40999920 = 24351317773
BaseRepresentation
bin1001110001100…
…1101111110000
32212011000022120
42130121233300
540443444140
64022434240
71005331203
oct234315760
985130276
1040999920
1121163935
1211892980
138656a10
14563393a
1538ed1d0
hex2719bf0

40999920 has 160 divisors (see below), whose sum is σ = 145115712. Its totient is φ = 9486336.

The previous prime is 40999843. The next prime is 40999921. The reversal of 40999920 is 2999904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40999921) 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, 52654 + ... + 53426.

Almost surely, 240999920 is an apocalyptic number.

40999920 is a gapful number since it is divisible by the number (40) 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 40999920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72557856).

40999920 is an abundant number, since it is smaller than the sum of its proper divisors (104115792).

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

40999920 is a wasteful number, since it uses less digits than its factorization.

40999920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 819 (or 813 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 42.

The square root of 40999920 is about 6403.1179904793. The cubic root of 40999920 is about 344.8214997638.

The spelling of 40999920 in words is "forty million, nine hundred ninety-nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 17 20 24 26 30 34 39 40 48 51 52 60 65 68 78 80 85 102 104 120 130 136 156 170 195 204 208 221 240 255 260 272 312 340 390 408 442 510 520 624 663 680 773 780 816 884 1020 1040 1105 1326 1360 1546 1560 1768 2040 2210 2319 2652 3092 3120 3315 3536 3865 4080 4420 4638 5304 6184 6630 7730 8840 9276 10049 10608 11595 12368 13141 13260 15460 17680 18552 20098 23190 26282 26520 30147 30920 37104 39423 40196 46380 50245 52564 53040 60294 61840 65705 78846 80392 92760 100490 105128 120588 131410 150735 157692 160784 170833 185520 197115 200980 210256 241176 262820 301470 315384 341666 394230 401960 482352 512499 525640 602940 630768 683332 788460 803920 854165 1024998 1051280 1205880 1366664 1576920 1708330 2049996 2411760 2562495 2733328 3153840 3416660 4099992 5124990 6833320 8199984 10249980 13666640 20499960 40999920