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40901112 = 2334771127
BaseRepresentation
bin1001110000000…
…1100111111000
32211221222210000
42130001213320
540432313422
64020353000
71004440140
oct234014770
984858700
1040901112
11210a667a
1211845760
138620a55
145609920
1538cdcac
hex27019f8

40901112 has 160 divisors (see below), whose sum is σ = 133816320. Its totient is φ = 11430720.

The previous prime is 40901111. The next prime is 40901123. The reversal of 40901112 is 21110904.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40901111) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 321993 + ... + 322119.

It is an arithmetic number, because the mean of its divisors is an integer number (836352).

Almost surely, 240901112 is an apocalyptic number.

40901112 is a gapful number since it is divisible by the number (42) 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 40901112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66908160).

40901112 is an abundant number, since it is smaller than the sum of its proper divisors (92915208).

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

40901112 is a wasteful number, since it uses less digits than its factorization.

40901112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 40901112 is about 6395.3977202360. The cubic root of 40901112 is about 344.5442754065.

The spelling of 40901112 in words is "forty million, nine hundred one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 71 72 81 84 108 126 127 142 162 168 189 213 216 252 254 284 324 378 381 426 497 504 508 567 568 639 648 756 762 852 889 994 1016 1134 1143 1278 1491 1512 1524 1704 1778 1917 1988 2268 2286 2556 2667 2982 3048 3429 3556 3834 3976 4473 4536 4572 5112 5334 5751 5964 6858 7112 7668 8001 8946 9017 9144 10287 10668 11502 11928 13419 13716 15336 16002 17892 18034 20574 21336 23004 24003 26838 27051 27432 32004 35784 36068 40257 41148 46008 48006 53676 54102 63119 64008 72009 72136 80514 81153 82296 96012 107352 108204 126238 144018 161028 162306 189357 192024 216408 243459 252476 288036 322056 324612 378714 486918 504952 568071 576072 649224 730377 757428 973836 1136142 1460754 1514856 1704213 1947672 2272284 2921508 3408426 4544568 5112639 5843016 6816852 10225278 13633704 20450556 40901112