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108557040 = 24353114591
BaseRepresentation
bin1100111100001…
…11001011110000
321120021021021010
412132013023300
5210242311130
614434430520
72455501554
oct636071360
9246237233
10108557040
1156306569
1230432440
131964b647
14105bb864
1597e50b0
hex67872f0

108557040 has 80 divisors (see below), whose sum is σ = 347406336. Its totient is φ = 28012800.

The previous prime is 108557039. The next prime is 108557081. The reversal of 108557040 is 40755801.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 108556989 and 108557007.

It is a congruent number.

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, 145 + ... + 14735.

Almost surely, 2108557040 is an apocalyptic number.

108557040 is a gapful number since it is divisible by the number (10) 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 108557040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173703168).

108557040 is an abundant number, since it is smaller than the sum of its proper divisors (238849296).

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

108557040 is a wasteful number, since it uses less digits than its factorization.

108557040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14638 (or 14632 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 30.

The square root of 108557040 is about 10419.0709758596. The cubic root of 108557040 is about 477.0376581602.

The spelling of 108557040 in words is "one hundred eight million, five hundred fifty-seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 120 124 155 186 240 248 310 372 465 496 620 744 930 1240 1488 1860 2480 3720 7440 14591 29182 43773 58364 72955 87546 116728 145910 175092 218865 233456 291820 350184 437730 452321 583640 700368 875460 904642 1167280 1356963 1750920 1809284 2261605 2713926 3501840 3618568 4523210 5427852 6784815 7237136 9046420 10855704 13569630 18092840 21711408 27139260 36185680 54278520 108557040