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189877480 = 235133111779
BaseRepresentation
bin10110101000101…
…00110011101000
3111020021202221021
423110110303220
5342102034410
630501422224
74463634442
oct1324246350
9436252837
10189877480
11981a9841
125370a974
1330451a50
141b309492
1511a09eda
hexb514ce8

189877480 has 64 divisors (see below), whose sum is σ = 474969600. Its totient is φ = 67841280.

The previous prime is 189877463. The next prime is 189877483. The reversal of 189877480 is 84778981.

It is a super-2 number, since 2×1898774802 = 72106914822300800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is not an unprimeable number, because it can be changed into a prime (189877483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10231 + ... + 22009.

It is an arithmetic number, because the mean of its divisors is an integer number (7421400).

Almost surely, 2189877480 is an apocalyptic number.

189877480 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 189877480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237484800).

189877480 is an abundant number, since it is smaller than the sum of its proper divisors (285092120).

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

189877480 is a wasteful number, since it uses less digits than its factorization.

189877480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11834 (or 11830 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 52.

The square root of 189877480 is about 13779.6037678882. The cubic root of 189877480 is about 574.7661102939.

The spelling of 189877480 in words is "one hundred eighty-nine million, eight hundred seventy-seven thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 13 20 26 31 40 52 62 65 104 124 130 155 248 260 310 403 520 620 806 1240 1612 2015 3224 4030 8060 11779 16120 23558 47116 58895 94232 117790 153127 235580 306254 365149 471160 612508 730298 765635 1225016 1460596 1531270 1825745 2921192 3062540 3651490 4746937 6125080 7302980 9493874 14605960 18987748 23734685 37975496 47469370 94938740 189877480