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26980416 = 2632311511
BaseRepresentation
bin110011011101…
…1000001000000
31212202202011200
41212323001000
523401333131
62402141200
7445221051
oct146730100
955682150
1026980416
1114258871
129051800
135788758
143824728
15257e2e6
hex19bb040

26980416 has 84 divisors (see below), whose sum is σ = 79881984. Its totient is φ = 8697600.

The previous prime is 26980391. The next prime is 26980441. The reversal of 26980416 is 61408962.

It is an interprime number because it is at equal distance from previous prime (26980391) and next prime (26980441).

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 11 ways as a sum of consecutive naturals, for example, 17101 + ... + 18611.

It is an arithmetic number, because the mean of its divisors is an integer number (950976).

Almost surely, 226980416 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 26980416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39940992).

26980416 is an abundant number, since it is smaller than the sum of its proper divisors (52901568).

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

26980416 is a wasteful number, since it uses less digits than its factorization.

26980416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1560 (or 1547 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 26980416 is about 5194.2676095866. The cubic root of 26980416 is about 299.9274491226.

The spelling of 26980416 in words is "twenty-six million, nine hundred eighty thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 93 96 124 144 186 192 248 279 288 372 496 558 576 744 992 1116 1488 1511 1984 2232 2976 3022 4464 4533 5952 6044 8928 9066 12088 13599 17856 18132 24176 27198 36264 46841 48352 54396 72528 93682 96704 108792 140523 145056 187364 217584 281046 290112 374728 421569 435168 562092 749456 843138 870336 1124184 1498912 1686276 2248368 2997824 3372552 4496736 6745104 8993472 13490208 26980416