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190471680 = 2932571181
BaseRepresentation
bin10110101101001…
…01111000000000
3111021101222000200
423112211320000
5342230043210
630522245200
74501661010
oct1326457000
9437358020
10190471680
1198575213
1253956800
13305cc349
141b421c40
1511ac60c0
hexb5a5e00

190471680 has 240 divisors, whose sum is σ = 754532064. Its totient is φ = 43499520.

The previous prime is 190471667. The next prime is 190471711. The reversal of 190471680 is 86174091.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 160690 + ... + 161870.

Almost surely, 2190471680 is an apocalyptic number.

190471680 is a gapful number since it is divisible by the number (10) 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 190471680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377266032).

190471680 is an abundant number, since it is smaller than the sum of its proper divisors (564060384).

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

190471680 is a wasteful number, since it uses less digits than its factorization.

190471680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1217 (or 1198 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 190471680 is about 13801.1477783552. The cubic root of 190471680 is about 575.3650410450.

The spelling of 190471680 in words is "one hundred ninety million, four hundred seventy-one thousand, six hundred eighty".