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190431480 = 23351739173
BaseRepresentation
bin10110101100111…
…00000011111000
3111021022220212210
423112130003320
5342222301410
630521335120
74501432551
oct1326340370
9437286783
10190431480
1198547a98
12539374a0
13305b6c65
141b411328
1511ab9220
hexb59c0f8

190431480 has 64 divisors (see below), whose sum is σ = 574659360. Its totient is φ = 50482688.

The previous prime is 190431473. The next prime is 190431499. The reversal of 190431480 is 84134091.

It is a happy number.

190431480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16174 + ... + 25346.

Almost surely, 2190431480 is an apocalyptic number.

190431480 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 190431480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287329680).

190431480 is an abundant number, since it is smaller than the sum of its proper divisors (384227880).

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

190431480 is a wasteful number, since it uses less digits than its factorization.

190431480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9360 (or 9356 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 190431480 is about 13799.6913008951. The cubic root of 190431480 is about 575.3245603079.

The spelling of 190431480 in words is "one hundred ninety million, four hundred thirty-one thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 173 346 519 692 865 1038 1384 1730 2076 2595 3460 4152 5190 6920 9173 10380 18346 20760 27519 36692 45865 55038 73384 91730 110076 137595 183460 220152 275190 366920 550380 1100760 1586929 3173858 4760787 6347716 7934645 9521574 12695432 15869290 19043148 23803935 31738580 38086296 47607870 63477160 95215740 190431480