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21620952 = 2333199503
BaseRepresentation
bin101001001111…
…0100011011000
31111200110101000
41102132203120
521013332302
62051225000
7351526563
oct122364330
944613330
1021620952
1111228161
1272a8160
134630182
142c2b4da
151d7131c
hex149e8d8

21620952 has 64 divisors (see below), whose sum is σ = 60480000. Its totient is φ = 7156512.

The previous prime is 21620933. The next prime is 21620953. The reversal of 21620952 is 25902612.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21620953) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42733 + ... + 43235.

It is an arithmetic number, because the mean of its divisors is an integer number (945000).

Almost surely, 221620952 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 21620952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30240000).

21620952 is an abundant number, since it is smaller than the sum of its proper divisors (38859048).

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

21620952 is a wasteful number, since it uses less digits than its factorization.

21620952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 717 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 21620952 is about 4649.8335454078. The cubic root of 21620952 is about 278.5853477407.

The spelling of 21620952 in words is "twenty-one million, six hundred twenty thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 199 216 398 503 597 796 1006 1194 1509 1592 1791 2012 2388 3018 3582 4024 4527 4776 5373 6036 7164 9054 10746 12072 13581 14328 18108 21492 27162 36216 42984 54324 100097 108648 200194 300291 400388 600582 800776 900873 1201164 1801746 2402328 2702619 3603492 5405238 7206984 10810476 21620952