Search a number
-
+
97631360 = 275791931
BaseRepresentation
bin1011101000110…
…11110010000000
320210201012001022
411310123302000
5144443200420
613404325012
72263565351
oct564336200
9223635038
1097631360
1150123982
1228843768
13172c4648
14cd75d28
158887c25
hex5d1bc80

97631360 has 64 divisors (see below), whose sum is σ = 236476800. Its totient is φ = 38538240.

The previous prime is 97631341. The next prime is 97631381. The reversal of 97631360 is 6313679.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 97631360.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49595 + ... + 51525.

It is an arithmetic number, because the mean of its divisors is an integer number (3694950).

Almost surely, 297631360 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 97631360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118238400).

97631360 is an abundant number, since it is smaller than the sum of its proper divisors (138845440).

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

97631360 is a wasteful number, since it uses less digits than its factorization.

97631360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2029 (or 2017 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 35.

The square root of 97631360 is about 9880.8582623171. The cubic root of 97631360 is about 460.4648105736.

The spelling of 97631360 in words is "ninety-seven million, six hundred thirty-one thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 79 80 128 158 160 316 320 395 632 640 790 1264 1580 1931 2528 3160 3862 5056 6320 7724 9655 10112 12640 15448 19310 25280 30896 38620 50560 61792 77240 123584 152549 154480 247168 305098 308960 610196 617920 762745 1220392 1235840 1525490 2440784 3050980 4881568 6101960 9763136 12203920 19526272 24407840 48815680 97631360