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97553340 = 22325678089
BaseRepresentation
bin1011101000010…
…00101110111100
320210120020000200
411310020232330
5144433201330
613402523500
72263122033
oct564105674
9223506020
1097553340
11500802a5
1228806590
1317297c91
14cd5571a
15886ea60
hex5d08bbc

97553340 has 72 divisors (see below), whose sum is σ = 300365520. Its totient is φ = 25622784.

The previous prime is 97553317. The next prime is 97553359. The reversal of 97553340 is 4335579.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 97553295 and 97553304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8016 + ... + 16104.

Almost surely, 297553340 is an apocalyptic number.

97553340 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97553340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150182760).

97553340 is an abundant number, since it is smaller than the sum of its proper divisors (202812180).

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

97553340 is a wasteful number, since it uses less digits than its factorization.

97553340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8171 (or 8166 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 36.

The square root of 97553340 is about 9876.9094356484. The cubic root of 97553340 is about 460.3421210387.

The spelling of 97553340 in words is "ninety-seven million, five hundred fifty-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 67 90 134 180 201 268 335 402 603 670 804 1005 1206 1340 2010 2412 3015 4020 6030 8089 12060 16178 24267 32356 40445 48534 72801 80890 97068 121335 145602 161780 242670 291204 364005 485340 541963 728010 1083926 1456020 1625889 2167852 2709815 3251778 4877667 5419630 6503556 8129445 9755334 10839260 16258890 19510668 24388335 32517780 48776670 97553340