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191042040 = 23357227431
BaseRepresentation
bin10110110001100…
…01000111111000
3111022110221102010
423120301013320
5342401321130
630542405520
74506554610
oct1330610770
9438427363
10191042040
1198924792
1253b908a0
133076bb37
141b52da40
1511b8a0b0
hexb6311f8

191042040 has 64 divisors (see below), whose sum is σ = 655004160. Its totient is φ = 43666560.

The previous prime is 191042023. The next prime is 191042041. The reversal of 191042040 is 40240191.

191042040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1910420402 = 72994122094723200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 191041998 and 191042016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (191042041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 112876 + ... + 114555.

It is an arithmetic number, because the mean of its divisors is an integer number (10234440).

Almost surely, 2191042040 is an apocalyptic number.

191042040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

191042040 is an abundant number, since it is smaller than the sum of its proper divisors (463962120).

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

191042040 is a wasteful number, since it uses less digits than its factorization.

191042040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227452 (or 227448 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 191042040 is about 13821.7958312225. The cubic root of 191042040 is about 575.9387714623.

The spelling of 191042040 in words is "one hundred ninety-one million, forty-two thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 227431 454862 682293 909724 1137155 1364586 1592017 1819448 2274310 2729172 3184034 3411465 4548620 4776051 5458344 6368068 6822930 7960085 9097240 9552102 12736136 13645860 15920170 19104204 23880255 27291720 31840340 38208408 47760510 63680680 95521020 191042040