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84152970 = 232511167509
BaseRepresentation
bin1010000010000…
…01001010001010
312212100102011200
411001001022022
5133020343340
612203405030
72041200636
oct501011212
9185312150
1084152970
1143558410
1224223776
1314585775
14b267dc6
1575c4330
hex504128a

84152970 has 96 divisors (see below), whose sum is σ = 240589440. Its totient is φ = 20238720.

The previous prime is 84152969. The next prime is 84152993. The reversal of 84152970 is 7925148.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 165076 + ... + 165584.

It is an arithmetic number, because the mean of its divisors is an integer number (2506140).

Almost surely, 284152970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84152970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120294720).

84152970 is an abundant number, since it is smaller than the sum of its proper divisors (156436470).

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

84152970 is a wasteful number, since it uses less digits than its factorization.

84152970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 84152970 is about 9173.4927917342. The cubic root of 84152970 is about 438.2176000155.

The spelling of 84152970 in words is "eighty-four million, one hundred fifty-two thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 167 198 330 334 495 501 509 835 990 1002 1018 1503 1527 1670 1837 2505 2545 3006 3054 3674 4581 5010 5090 5511 5599 7515 7635 9162 9185 11022 11198 15030 15270 16533 16797 18370 22905 27555 27995 33066 33594 45810 50391 55110 55990 82665 83985 85003 100782 165330 167970 170006 251955 255009 425015 503910 510018 765027 850030 935033 1275045 1530054 1870066 2550090 2805099 3825135 4675165 5610198 7650270 8415297 9350330 14025495 16830594 28050990 42076485 84152970