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216140880 = 2435900587
BaseRepresentation
bin11001110001000…
…00110001010000
3120001201002112210
430320200301100
5420313002010
633240352120
75233111224
oct1470406120
9501632483
10216140880
1110100792a
1260475640
1335a19017
14209c4784
1513e96b20
hexce20c50

216140880 has 40 divisors (see below), whose sum is σ = 670037472. Its totient is φ = 57637504.

The previous prime is 216140879. The next prime is 216140887. The reversal of 216140880 is 88041612.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216140887) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 450054 + ... + 450533.

Almost surely, 2216140880 is an apocalyptic number.

216140880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

216140880 is an abundant number, since it is smaller than the sum of its proper divisors (453896592).

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

216140880 is a wasteful number, since it uses less digits than its factorization.

216140880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 900603 (or 900597 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 216140880 is about 14701.7305103855. The cubic root of 216140880 is about 600.1304160951.

The spelling of 216140880 in words is "two hundred sixteen million, one hundred forty thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 900587 1801174 2701761 3602348 4502935 5403522 7204696 9005870 10807044 13508805 14409392 18011740 21614088 27017610 36023480 43228176 54035220 72046960 108070440 216140880