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190410132 = 2231117531601
BaseRepresentation
bin10110101100101…
…10110110010100
3111021021211121010
423112112312110
5342221111012
630521052220
74501313403
oct1326266624
9437254533
10190410132
1198532a50
1253927070
13305aa323
141b40763a
1511ab2c3c
hexb596d94

190410132 has 96 divisors (see below), whose sum is σ = 523200384. Its totient is φ = 53248000.

The previous prime is 190410119. The next prime is 190410151. The reversal of 190410132 is 231014091.

It is a junction number, because it is equal to n+sod(n) for n = 190410099 and 190410108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 118132 + ... + 119732.

It is an arithmetic number, because the mean of its divisors is an integer number (5450004).

Almost surely, 2190410132 is an apocalyptic number.

190410132 is a gapful number since it is divisible by the number (12) 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 190410132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261600192).

190410132 is an abundant number, since it is smaller than the sum of its proper divisors (332790252).

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

190410132 is a wasteful number, since it uses less digits than its factorization.

190410132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1689 (or 1687 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 190410132 is about 13798.9177836525. The cubic root of 190410132 is about 575.3030609078.

The spelling of 190410132 in words is "one hundred ninety million, four hundred ten thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 53 66 68 102 106 132 159 187 204 212 318 374 561 583 636 748 901 1122 1166 1601 1749 1802 2244 2332 2703 3202 3498 3604 4803 5406 6404 6996 9606 9911 10812 17611 19212 19822 27217 29733 35222 39644 52833 54434 59466 70444 81651 84853 105666 108868 118932 163302 169706 211332 254559 299387 326604 339412 509118 598774 898161 933383 1018236 1197548 1442501 1796322 1866766 2800149 2885002 3592644 3733532 4327503 5600298 5770004 8655006 11200596 15867511 17310012 31735022 47602533 63470044 95205066 190410132