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820998972 = 223267340381
BaseRepresentation
bin110000111011110…
…111001100111100
32010012212001212100
4300323313030330
53140133431342
6213244505100
726226243003
oct6073671474
92105761770
10820998972
11391483752
121aab4b190
13101125c11
147b073c3a
154c123e4c
hex30ef733c

820998972 has 36 divisors (see below), whose sum is σ = 2106283816. Its totient is φ = 269580960.

The previous prime is 820998967. The next prime is 820998989. The reversal of 820998972 is 279899028.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 167779 + ... + 172602.

Almost surely, 2820998972 is an apocalyptic number.

It is an amenable number.

820998972 is an abundant number, since it is smaller than the sum of its proper divisors (1285284844).

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

820998972 is a wasteful number, since it uses less digits than its factorization.

820998972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340458 (or 340453 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The square root of 820998972 is about 28653.0796250595. The cubic root of 820998972 is about 936.3701007366.

The spelling of 820998972 in words is "eight hundred twenty million, nine hundred ninety-eight thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 67 134 201 268 402 603 804 1206 2412 340381 680762 1021143 1361524 2042286 3063429 4084572 6126858 12253716 22805527 45611054 68416581 91222108 136833162 205249743 273666324 410499486 820998972