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657387990 = 232571397507
BaseRepresentation
bin100111001011101…
…111000111010110
31200210222202210100
4213023233013112
52321242403430
6145122034530
722201464030
oct4713570726
91623882710
10657387990
11308095366
121641a8a46
13a626c99c
1463444c50
153caa6960
hex272ef1d6

657387990 has 96 divisors (see below), whose sum is σ = 1967696640. Its totient is φ = 149159232.

The previous prime is 657387989. The next prime is 657388019. The reversal of 657387990 is 99783756.

657387990 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 83817 + ... + 91323.

It is an arithmetic number, because the mean of its divisors is an integer number (20496840).

Almost surely, 2657387990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 657387990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (983848320).

657387990 is an abundant number, since it is smaller than the sum of its proper divisors (1310308650).

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

657387990 is a wasteful number, since it uses less digits than its factorization.

657387990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7666 (or 7663 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The square root of 657387990 is about 25639.5785846804. The cubic root of 657387990 is about 869.5086801767.

The spelling of 657387990 in words is "six hundred fifty-seven million, three hundred eighty-seven thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 139 210 278 315 417 630 695 834 973 1251 1390 1946 2085 2502 2919 4170 4865 5838 6255 7507 8757 9730 12510 14595 15014 17514 22521 29190 37535 43785 45042 52549 67563 75070 87570 105098 112605 135126 157647 225210 262745 315294 337815 472941 525490 675630 788235 945882 1043473 1576470 2086946 2364705 3130419 4729410 5217365 6260838 7304311 9391257 10434730 14608622 15652095 18782514 21912933 31304190 36521555 43825866 46956285 65738799 73043110 93912570 109564665 131477598 219129330 328693995 657387990