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190831424 = 267616983
BaseRepresentation
bin10110101111111…
…01101101000000
3111022002020111112
423113331231000
5342323101144
630534102452
74505016560
oct1327755500
9438066445
10190831424
11987a0523
1253aaaa28
13306c7004
141b4b6da0
1511b4799e
hexb5fdb40

190831424 has 56 divisors (see below), whose sum is σ = 439936128. Its totient is φ = 80432640.

The previous prime is 190831393. The next prime is 190831439. The reversal of 190831424 is 424138091.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23837 + ... + 30819.

Almost surely, 2190831424 is an apocalyptic number.

190831424 is a gapful number since it is divisible by the number (14) 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 190831424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219968064).

190831424 is an abundant number, since it is smaller than the sum of its proper divisors (249104704).

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

190831424 is an equidigital number, since it uses as much as digits as its factorization.

190831424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7063 (or 7053 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 190831424 is about 13814.1747491481. The cubic root of 190831424 is about 575.7270440254.

The spelling of 190831424 in words is "one hundred ninety million, eight hundred thirty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 61 64 112 122 224 244 427 448 488 854 976 1708 1952 3416 3904 6832 6983 13664 13966 27328 27932 48881 55864 97762 111728 195524 223456 391048 425963 446912 782096 851926 1564192 1703852 2981741 3128384 3407704 5963482 6815408 11926964 13630816 23853928 27261632 47707856 95415712 190831424