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97039800 = 2332521113229
BaseRepresentation
bin1011100100010…
…11010110111000
320202121010120200
411302023112320
5144320233200
613343522200
72255552604
oct562132670
9222533520
1097039800
114a85a490
12285b9360
1317148300
14cc60504
1587bc800
hex5c8b5b8

97039800 has 432 divisors, whose sum is σ = 398244600. Its totient is φ = 20966400.

The previous prime is 97039793. The next prime is 97039801. The reversal of 97039800 is 893079.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97039801) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 3346186 + ... + 3346214.

Almost surely, 297039800 is an apocalyptic number.

97039800 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 97039800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199122300).

97039800 is an abundant number, since it is smaller than the sum of its proper divisors (301204800).

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

97039800 is a wasteful number, since it uses less digits than its factorization.

97039800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 97039800 is about 9850.8781334458. The cubic root of 97039800 is about 459.5329222414.

It can be divided in two parts, 9703 and 9800, that added together give a triangular number (19503 = T197).

The spelling of 97039800 in words is "ninety-seven million, thirty-nine thousand, eight hundred".