Search a number
-
+
97363002 = 231123312069
BaseRepresentation
bin1011100110110…
…10010000111010
320210012112221010
411303122100322
5144411104002
613354454350
72261400102
oct563322072
9223175833
1097363002
114aa602a0
12287343b6
131722c459
14cd06202
15883346c
hex5cda43a

97363002 has 64 divisors (see below), whose sum is σ = 228925440. Its totient is φ = 27297600.

The previous prime is 97363001. The next prime is 97363027. The reversal of 97363002 is 20036379.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (97363001) 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, 46024 + ... + 48092.

It is an arithmetic number, because the mean of its divisors is an integer number (3576960).

Almost surely, 297363002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97363002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114462720).

97363002 is an abundant number, since it is smaller than the sum of its proper divisors (131562438).

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

97363002 is a wasteful number, since it uses less digits than its factorization.

97363002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2139.

The product of its (nonzero) digits is 6804, while the sum is 30.

The square root of 97363002 is about 9867.2692270962. The cubic root of 97363002 is about 460.0425322992.

The spelling of 97363002 in words is "ninety-seven million, three hundred sixty-three thousand, two".

Divisors: 1 2 3 6 11 22 23 31 33 46 62 66 69 93 138 186 253 341 506 682 713 759 1023 1426 1518 2046 2069 2139 4138 4278 6207 7843 12414 15686 22759 23529 45518 47058 47587 64139 68277 95174 128278 136554 142761 192417 285522 384834 523457 705529 1046914 1411058 1475197 1570371 2116587 2950394 3140742 4233174 4425591 8851182 16227167 32454334 48681501 97363002