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67108880 = 2453972113
BaseRepresentation
bin1000000000000…
…00000000010000
311200021111002002
410000000000100
5114134441010
610354213132
71443262466
oct400000020
9150244062
1067108880
1134976993
121a5841a8
1310b988c7
148cac836
155d591a5
hex4000010

67108880 has 40 divisors (see below), whose sum is σ = 156495192. Its totient is φ = 26763264.

The previous prime is 67108879. The next prime is 67108913. The reversal of 67108880 is 8880176.

It can be written as a sum of positive squares in 4 ways, for example, as 65536 + 67043344 = 256^2 + 8188^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (2) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30704 + ... + 32816.

Almost surely, 267108880 is an apocalyptic number.

It is an amenable number.

67108880 is an abundant number, since it is smaller than the sum of its proper divisors (89386312).

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

67108880 is a wasteful number, since it uses less digits than its factorization.

67108880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2523 (or 2517 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 38.

The square root of 67108880 is about 8192.0009765624. Note that the first 3 decimals coincide. The cubic root of 67108880 is about 406.3747015996.

The spelling of 67108880 in words is "sixty-seven million, one hundred eight thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 397 794 1588 1985 2113 3176 3970 4226 6352 7940 8452 10565 15880 16904 21130 31760 33808 42260 84520 169040 838861 1677722 3355444 4194305 6710888 8388610 13421776 16777220 33554440 67108880