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40720914 = 23313194371
BaseRepresentation
bin1001101101010…
…1101000010010
32211121211121000
42123111220102
540411032124
64012442430
71003056603
oct233255022
984554530
1040720914
1120a93253
1211779416
138589a20
14559ddaa
1538956c9
hex26d5a12

40720914 has 128 divisors (see below), whose sum is σ = 106444800. Its totient is φ = 11430720.

The previous prime is 40720903. The next prime is 40720931. The reversal of 40720914 is 41902704.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 573499 + ... + 573569.

It is an arithmetic number, because the mean of its divisors is an integer number (831600).

Almost surely, 240720914 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40720914, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53222400).

40720914 is an abundant number, since it is smaller than the sum of its proper divisors (65723886).

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

40720914 is a wasteful number, since it uses less digits than its factorization.

40720914 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 40720914 is about 6381.2940693875. The cubic root of 40720914 is about 344.0375443519.

It can be divided in two parts, 407 and 20914, that added together give a triangular number (21321 = T206).

The spelling of 40720914 in words is "forty million, seven hundred twenty thousand, nine hundred fourteen".

Divisors: 1 2 3 6 9 13 18 19 26 27 38 39 43 54 57 71 78 86 114 117 129 142 171 213 234 247 258 342 351 387 426 494 513 559 639 702 741 774 817 923 1026 1118 1161 1278 1349 1482 1634 1677 1846 1917 2223 2322 2451 2698 2769 3053 3354 3834 4047 4446 4902 5031 5538 6106 6669 7353 8094 8307 9159 10062 10621 12141 13338 14706 15093 16614 17537 18318 21242 22059 24282 24921 27477 30186 31863 35074 36423 39689 44118 49842 52611 54954 58007 63726 72846 79378 82431 95589 105222 116014 119067 157833 164862 174021 191178 238134 286767 315666 348042 357201 473499 522063 573534 714402 754091 946998 1044126 1071603 1508182 1566189 2143206 2262273 3132378 4524546 6786819 13573638 20360457 40720914