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1102972416 = 2937132607
BaseRepresentation
bin100000110111110…
…0000011000000000
32211212102210201020
41001233200120000
54224330104131
6301240305440
736222053010
oct10157403000
92755383636
101102972416
11516665557
12269472280
13147681900
14a66b3c40
1566c71996
hex41be0600

1102972416 has 240 divisors, whose sum is σ = 3642338304. Its totient is φ = 290414592.

The previous prime is 1102972397. The next prime is 1102972459. The reversal of 1102972416 is 6142792011.

It is a happy number.

It is a congruent number.

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, 1816785 + ... + 1817391.

Almost surely, 21102972416 is an apocalyptic number.

1102972416 is a gapful number since it is divisible by the number (16) 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 1102972416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1821169152).

1102972416 is an abundant number, since it is smaller than the sum of its proper divisors (2539365888).

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

1102972416 is an equidigital number, since it uses as much as digits as its factorization.

1102972416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 1102972416 is about 33211.0285296918. The cubic root of 1102972416 is about 1033.2090870617.

The spelling of 1102972416 in words is "one billion, one hundred two million, nine hundred seventy-two thousand, four hundred sixteen".