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190413132 = 2237131271373
BaseRepresentation
bin10110101100101…
…11100101001100
3111021021222201020
423112113211030
5342221210012
630521114140
74501325220
oct1326274514
9437258636
10190413132
1198535228
1253928950
13305ab7c0
141b408780
1511ab3a8c
hexb59794c

190413132 has 96 divisors (see below), whose sum is σ = 551534592. Its totient is φ = 49787136.

The previous prime is 190413131. The next prime is 190413133. The reversal of 190413132 is 231314091.

It is an interprime number because it is at equal distance from previous prime (190413131) and next prime (190413133).

It is not an unprimeable number, because it can be changed into a prime (190413131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 137998 + ... + 139370.

It is an arithmetic number, because the mean of its divisors is an integer number (5745152).

Almost surely, 2190413132 is an apocalyptic number.

190413132 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 190413132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275767296).

190413132 is an abundant number, since it is smaller than the sum of its proper divisors (361121460).

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

190413132 is a wasteful number, since it uses less digits than its factorization.

190413132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1527 (or 1525 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 190413132 is about 13799.0264874012. The cubic root of 190413132 is about 575.3060822809.

The spelling of 190413132 in words is "one hundred ninety million, four hundred thirteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 127 156 182 254 273 364 381 508 546 762 889 1092 1373 1524 1651 1778 2667 2746 3302 3556 4119 4953 5334 5492 6604 8238 9611 9906 10668 11557 16476 17849 19222 19812 23114 28833 34671 35698 38444 46228 53547 57666 69342 71396 107094 115332 124943 138684 174371 214188 249886 348742 374829 499772 523113 697484 749658 1046226 1220597 1499316 2092452 2266823 2441194 3661791 4533646 4882388 6800469 7323582 9067292 13600938 14647164 15867761 27201876 31735522 47603283 63471044 95206566 190413132