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97813380 = 22357463503
BaseRepresentation
bin1011101010010…
…00001110000100
320211001102201210
411311020032010
5200020012010
613412251420
72265254130
oct565101604
9224042653
1097813380
1150238705
1228910b70
1317359452
14cdc23c0
1588c1b20
hex5d48384

97813380 has 96 divisors (see below), whose sum is σ = 314302464. Its totient is φ = 22264704.

The previous prime is 97813369. The next prime is 97813381. The reversal of 97813380 is 8331879.

It is not an unprimeable number, because it can be changed into a prime (97813381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 194209 + ... + 194711.

It is an arithmetic number, because the mean of its divisors is an integer number (3273984).

Almost surely, 297813380 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 97813380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157151232).

97813380 is an abundant number, since it is smaller than the sum of its proper divisors (216489084).

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

97813380 is a wasteful number, since it uses less digits than its factorization.

97813380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 985 (or 983 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 97813380 is about 9890.0647116184. The cubic root of 97813380 is about 460.7507903119.

The spelling of 97813380 in words is "ninety-seven million, eight hundred thirteen thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 463 503 926 1006 1389 1509 1852 2012 2315 2515 2778 3018 3241 3521 4630 5030 5556 6036 6482 6945 7042 7545 9260 9723 10060 10563 12964 13890 14084 15090 16205 17605 19446 21126 27780 30180 32410 35210 38892 42252 48615 52815 64820 70420 97230 105630 194460 211260 232889 465778 698667 931556 1164445 1397334 1630223 2328890 2794668 3260446 3493335 4657780 4890669 6520892 6986670 8151115 9781338 13973340 16302230 19562676 24453345 32604460 48906690 97813380