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99380040 = 23351276521
BaseRepresentation
bin1011110110001…
…10101101001000
320221000000210020
411323012231020
5200420130130
613510020440
72314500504
oct573065510
9227000706
1099380040
1151108771
1229347720
1317787576
14d2ad304
158ad0e10
hex5ec6b48

99380040 has 64 divisors (see below), whose sum is σ = 300533760. Its totient is φ = 26288640.

The previous prime is 99380027. The next prime is 99380053. The reversal of 99380040 is 4008399.

It is an interprime number because it is at equal distance from previous prime (99380027) and next prime (99380053).

It is a junction number, because it is equal to n+sod(n) for n = 99379983 and 99380010.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11980 + ... + 18500.

It is an arithmetic number, because the mean of its divisors is an integer number (4695840).

Almost surely, 299380040 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 99380040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150266880).

99380040 is an abundant number, since it is smaller than the sum of its proper divisors (201153720).

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

99380040 is a wasteful number, since it uses less digits than its factorization.

99380040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6662 (or 6658 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 99380040 is about 9968.9538066941. The cubic root of 99380040 is about 463.1976944829.

The spelling of 99380040 in words is "ninety-nine million, three hundred eighty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 127 254 381 508 635 762 1016 1270 1524 1905 2540 3048 3810 5080 6521 7620 13042 15240 19563 26084 32605 39126 52168 65210 78252 97815 130420 156504 195630 260840 391260 782520 828167 1656334 2484501 3312668 4140835 4969002 6625336 8281670 9938004 12422505 16563340 19876008 24845010 33126680 49690020 99380040