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40014780 = 22351329261
BaseRepresentation
bin1001100010100…
…1001110111100
32210021221221220
42120221032330
540220433110
63545353340
7664056111
oct230511674
983257856
1040014780
1120650773
1211498850
1383a04b0
145458908
1537a6370
hex26293bc

40014780 has 144 divisors (see below), whose sum is σ = 127012704. Its totient is φ = 9354240.

The previous prime is 40014763. The next prime is 40014781. The reversal of 40014780 is 8741004.

40014780 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 40014780.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40014781) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 655950 + ... + 656010.

Almost surely, 240014780 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 40014780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63506352).

40014780 is an abundant number, since it is smaller than the sum of its proper divisors (86997924).

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

40014780 is a wasteful number, since it uses less digits than its factorization.

40014780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 40014780 is about 6325.7236740155. The cubic root of 40014780 is about 342.0373065558.

Adding to 40014780 its reverse (8741004), we get a palindrome (48755784).

The spelling of 40014780 in words is "forty million, fourteen thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 29 30 39 52 58 60 61 65 78 87 116 122 130 145 156 174 183 195 244 260 290 305 348 366 377 390 435 580 610 732 754 780 793 841 870 915 1131 1220 1508 1586 1682 1740 1769 1830 1885 2262 2379 2523 3172 3364 3538 3660 3770 3965 4205 4524 4758 5046 5307 5655 7076 7540 7930 8410 8845 9516 10092 10614 10933 11310 11895 12615 15860 16820 17690 21228 21866 22620 22997 23790 25230 26535 32799 35380 43732 45994 47580 50460 51301 53070 54665 65598 68991 91988 102602 106140 109330 114985 131196 137982 153903 163995 205204 218660 229970 256505 275964 307806 327990 344955 459940 513010 615612 655980 666913 689910 769515 1026020 1333826 1379820 1539030 2000739 2667652 3078060 3334565 4001478 6669130 8002956 10003695 13338260 20007390 40014780