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190673136 = 24333779151
BaseRepresentation
bin10110101110101…
…11000011110000
3111021210012101000
423113113003300
5342303020021
630530442000
74503460233
oct1327270360
9437705330
10190673136
11986a2605
1253a33300
133066cc54
141b47541a
1511b15b26
hexb5d70f0

190673136 has 160 divisors (see below), whose sum is σ = 572979200. Its totient is φ = 60652800.

The previous prime is 190673117. The next prime is 190673141. The reversal of 190673136 is 631376091.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 190673136.

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, 1262661 + ... + 1262811.

It is an arithmetic number, because the mean of its divisors is an integer number (3581120).

Almost surely, 2190673136 is an apocalyptic number.

190673136 is a gapful number since it is divisible by the number (16) 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 190673136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286489600).

190673136 is an abundant number, since it is smaller than the sum of its proper divisors (382306064).

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

190673136 is a wasteful number, since it uses less digits than its factorization.

190673136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 190673136 is about 13808.4443729191. Note that the first 3 decimals coincide. The cubic root of 190673136 is about 575.5678181694.

The spelling of 190673136 in words is "one hundred ninety million, six hundred seventy-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 37 48 54 72 74 79 108 111 144 148 151 158 216 222 237 296 302 316 333 432 444 453 474 592 604 632 666 711 888 906 948 999 1208 1264 1332 1359 1422 1776 1812 1896 1998 2133 2416 2664 2718 2844 2923 3624 3792 3996 4077 4266 5328 5436 5587 5688 5846 7248 7992 8154 8532 8769 10872 11174 11376 11692 11929 15984 16308 16761 17064 17538 21744 22348 23384 23858 26307 32616 33522 34128 35076 35787 44696 46768 47716 50283 52614 65232 67044 70152 71574 78921 89392 95432 100566 105228 107361 134088 140304 143148 150849 157842 190864 201132 210456 214722 268176 286296 301698 315684 322083 402264 420912 429444 441373 572592 603396 631368 644166 804528 858888 882746 1206792 1262736 1288332 1324119 1717776 1765492 2413584 2576664 2648238 3530984 3972357 5153328 5296476 7061968 7944714 10592952 11917071 15889428 21185904 23834142 31778856 47668284 63557712 95336568 190673136