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190034020 = 225113532447
BaseRepresentation
bin10110101001110…
…11000001100100
3111020120201200001
423110323001210
5342122042040
630505031044
74465156021
oct1324730144
9436521601
10190034020
11982a6410
1253785484
13304a8087
141b34a548
1511a3b59a
hexb53b064

190034020 has 48 divisors (see below), whose sum is σ = 436762368. Its totient is φ = 68879360.

The previous prime is 190034017. The next prime is 190034023. The reversal of 190034020 is 20430091.

It is an interprime number because it is at equal distance from previous prime (190034017) and next prime (190034023).

It is a super-2 number, since 2×1900340202 = 72225857514720800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (190034023) 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, 76437 + ... + 78883.

It is an arithmetic number, because the mean of its divisors is an integer number (9099216).

Almost surely, 2190034020 is an apocalyptic number.

190034020 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 190034020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218381184).

190034020 is an abundant number, since it is smaller than the sum of its proper divisors (246728348).

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

190034020 is a wasteful number, since it uses less digits than its factorization.

190034020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2820 (or 2818 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 190034020 is about 13785.2827319573. The cubic root of 190034020 is about 574.9240176852.

The spelling of 190034020 in words is "one hundred ninety million, thirty-four thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 353 706 1412 1765 2447 3530 3883 4894 7060 7766 9788 12235 15532 19415 24470 26917 38830 48940 53834 77660 107668 134585 269170 538340 863791 1727582 3455164 4318955 8637910 9501701 17275820 19003402 38006804 47508505 95017010 190034020