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1397938560 = 27351742829
BaseRepresentation
bin101001101010010…
…1101100110000000
310121102110122012020
41103110231212000
510330333013220
6350414401440
746433165424
oct12324554600
93542418166
101397938560
11658110a27
12330200280
131938093a5
14d3936b84
1582ad9040
hex5352d980

1397938560 has 128 divisors (see below), whose sum is σ = 4718152800. Its totient is φ = 350846976.

The previous prime is 1397938559. The next prime is 1397938561. The reversal of 1397938560 is 658397931.

It is an interprime number because it is at equal distance from previous prime (1397938559) and next prime (1397938561).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1397938561) 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 15 ways as a sum of consecutive naturals, for example, 11226 + ... + 54054.

Almost surely, 21397938560 is an apocalyptic number.

1397938560 is a gapful number since it is divisible by the number (10) 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 1397938560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2359076400).

1397938560 is an abundant number, since it is smaller than the sum of its proper divisors (3320214240).

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

1397938560 is a wasteful number, since it uses less digits than its factorization.

1397938560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42868 (or 42856 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 51.

The square root of 1397938560 is about 37389.0165690407. The cubic root of 1397938560 is about 1118.1395985237.

The spelling of 1397938560 in words is "one billion, three hundred ninety-seven million, nine hundred thirty-eight thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 64 68 80 85 96 102 120 128 136 160 170 192 204 240 255 272 320 340 384 408 480 510 544 640 680 816 960 1020 1088 1360 1632 1920 2040 2176 2720 3264 4080 5440 6528 8160 10880 16320 32640 42829 85658 128487 171316 214145 256974 342632 428290 513948 642435 685264 728093 856580 1027896 1284870 1370528 1456186 1713160 2055792 2184279 2569740 2741056 2912372 3426320 3640465 4111584 4368558 5139480 5482112 5824744 6852640 7280930 8223168 8737116 10278960 10921395 11649488 13705280 14561860 16446336 17474232 20557920 21842790 23298976 27410560 29123720 34948464 41115840 43685580 46597952 58247440 69896928 82231680 87371160 93195904 116494880 139793856 174742320 232989760 279587712 349484640 465979520 698969280 1397938560