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97437420 = 223255211039
BaseRepresentation
bin1011100111011…
…00011011101100
320210100100000100
411303230123230
5144420444140
613400231100
72262130053
oct563543354
9223310010
1097437420
11500011a3
122876b490
13172572a2
14cd2539a
15884a530
hex5cec6ec

97437420 has 72 divisors (see below), whose sum is σ = 296412480. Its totient is φ = 25908480.

The previous prime is 97437383. The next prime is 97437437. The reversal of 97437420 is 2473479.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

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, 93261 + ... + 94299.

It is an arithmetic number, because the mean of its divisors is an integer number (4116840).

Almost surely, 297437420 is an apocalyptic number.

97437420 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 97437420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148206240).

97437420 is an abundant number, since it is smaller than the sum of its proper divisors (198975060).

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

97437420 is a wasteful number, since it uses less digits than its factorization.

97437420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1575 (or 1570 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 97437420 is about 9871.0394589425. The cubic root of 97437420 is about 460.1597113977.

The spelling of 97437420 in words is "ninety-seven million, four hundred thirty-seven thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 521 1039 1042 1563 2078 2084 2605 3117 3126 4156 4689 5195 5210 6234 6252 7815 9351 9378 10390 10420 12468 15585 15630 18702 18756 20780 23445 31170 31260 37404 46755 46890 62340 93510 93780 187020 541319 1082638 1623957 2165276 2706595 3247914 4871871 5413190 6495828 8119785 9743742 10826380 16239570 19487484 24359355 32479140 48718710 97437420