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1107387072 = 2633111723149
BaseRepresentation
bin100001000000001…
…0110001011000000
32212011202002111000
41002000112023000
54231442341242
6301515052000
736304430511
oct10200261300
92764662430
101107387072
11519100330
1226aa41000
1314856912c
14a7102a08
1567344a4c
hex420162c0

1107387072 has 448 divisors, whose sum is σ = 3950208000. Its totient is φ = 300072960.

The previous prime is 1107387037. The next prime is 1107387091. The reversal of 1107387072 is 2707837011.

It is a happy number.

It is a super-2 number, since 2×11073870722 = 2452612254465466368, which contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 7432054 + ... + 7432202.

Almost surely, 21107387072 is an apocalyptic number.

1107387072 is a gapful number since it is divisible by the number (12) 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 1107387072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1975104000).

1107387072 is an abundant number, since it is smaller than the sum of its proper divisors (2842820928).

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

1107387072 is a wasteful number, since it uses less digits than its factorization.

1107387072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 16464, while the sum is 36.

The square root of 1107387072 is about 33277.4258619864. The cubic root of 1107387072 is about 1034.5857279242.

The spelling of 1107387072 in words is "one billion, one hundred seven million, three hundred eighty-seven thousand, seventy-two".