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1397056960 = 26513418191
BaseRepresentation
bin101001101000101…
…0110010111000000
310121100210211212101
41103101112113000
510330121310320
6350343440144
746422534235
oct12321262700
93540724771
101397056960
11657669632
1232ba56054
1319358b030
14d378778c
15829b2c0a
hex534565c0

1397056960 has 112 divisors (see below), whose sum is σ = 3670474752. Its totient is φ = 503193600.

The previous prime is 1397056939. The next prime is 1397056963. The reversal of 1397056960 is 696507931.

It is a self number, because there is not a number n which added to its sum of digits gives 1397056960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1397056963) 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, 166465 + ... + 174655.

It is an arithmetic number, because the mean of its divisors is an integer number (32772096).

Almost surely, 21397056960 is an apocalyptic number.

1397056960 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 1397056960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1835237376).

1397056960 is an abundant number, since it is smaller than the sum of its proper divisors (2273417792).

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

1397056960 is a wasteful number, since it uses less digits than its factorization.

1397056960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8262 (or 8252 counting only the distinct ones).

The product of its (nonzero) digits is 306180, while the sum is 46.

The square root of 1397056960 is about 37377.2251511532. The cubic root of 1397056960 is about 1117.9045001701.

The spelling of 1397056960 in words is "one billion, three hundred ninety-seven million, fifty-six thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 41 52 64 65 80 82 104 130 160 164 205 208 260 320 328 410 416 520 533 656 820 832 1040 1066 1312 1640 2080 2132 2624 2665 3280 4160 4264 5330 6560 8191 8528 10660 13120 16382 17056 21320 32764 34112 40955 42640 65528 81910 85280 106483 131056 163820 170560 212966 262112 327640 335831 425932 524224 532415 655280 671662 851864 1064830 1310560 1343324 1679155 1703728 2129660 2621120 2686648 3358310 3407456 4259320 4365803 5373296 6716620 6814912 8518640 8731606 10746592 13433240 17037280 17463212 21493184 21829015 26866480 34074560 34926424 43658030 53732960 69852848 87316060 107465920 139705696 174632120 279411392 349264240 698528480 1397056960