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970092620 = 225723734127
BaseRepresentation
bin111001110100100…
…111000001001100
32111121101210220022
4321310213001030
53441320430440
6240132241312
733016436240
oct7164470114
92447353808
10970092620
11458656a42
12230a70238
13125c98403
1492ba4420
155a274cb5
hex39d2704c

970092620 has 96 divisors (see below), whose sum is σ = 2463326208. Its totient is φ = 313708032.

The previous prime is 970092619. The next prime is 970092623. The reversal of 970092620 is 26290079.

970092620 = T120 + T121 + ... + T1798.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (970092623) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 232997 + ... + 237123.

It is an arithmetic number, because the mean of its divisors is an integer number (25659648).

Almost surely, 2970092620 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 970092620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1231663104).

970092620 is an abundant number, since it is smaller than the sum of its proper divisors (1493233588).

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

970092620 is a wasteful number, since it uses less digits than its factorization.

970092620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4239 (or 4237 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 35.

The square root of 970092620 is about 31146.3098937900. The cubic root of 970092620 is about 989.9298049063.

The spelling of 970092620 in words is "nine hundred seventy million, ninety-two thousand, six hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 70 73 92 115 140 146 161 230 292 322 365 460 511 644 730 805 1022 1460 1610 1679 2044 2555 3220 3358 4127 5110 6716 8254 8395 10220 11753 16508 16790 20635 23506 28889 33580 41270 47012 57778 58765 82540 94921 115556 117530 144445 189842 235060 288890 301271 379684 474605 577780 602542 664447 949210 1205084 1328894 1506355 1898420 2108897 2657788 3012710 3322235 4217794 6025420 6644470 6929233 8435588 10544485 13288940 13858466 21088970 27716932 34646165 42177940 48504631 69292330 97009262 138584660 194018524 242523155 485046310 970092620