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74138190 = 235717191093
BaseRepresentation
bin1000110101101…
…00001001001110
312011111121110220
410122310021032
5122434410230
611205012210
71560110220
oct432641116
9164447426
1074138190
1138938135
12209b4066
131248a269
149bbc410
156796d10
hex46b424e

74138190 has 128 divisors (see below), whose sum is σ = 226851840. Its totient is φ = 15095808.

The previous prime is 74138189. The next prime is 74138201. The reversal of 74138190 is 9183147.

It is a super-2 number, since 2×741381902 = 10992942432952200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 67284 + ... + 68376.

It is an arithmetic number, because the mean of its divisors is an integer number (1772280).

Almost surely, 274138190 is an apocalyptic number.

74138190 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 74138190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113425920).

74138190 is an abundant number, since it is smaller than the sum of its proper divisors (152713650).

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

74138190 is a wasteful number, since it uses less digits than its factorization.

74138190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1146.

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 74138190 is about 8610.3536512736. The cubic root of 74138190 is about 420.0948198615.

The spelling of 74138190 in words is "seventy-four million, one hundred thirty-eight thousand, one hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 17 19 21 30 34 35 38 42 51 57 70 85 95 102 105 114 119 133 170 190 210 238 255 266 285 323 357 399 510 570 595 646 665 714 798 969 1093 1190 1330 1615 1785 1938 1995 2186 2261 3230 3279 3570 3990 4522 4845 5465 6558 6783 7651 9690 10930 11305 13566 15302 16395 18581 20767 22610 22953 32790 33915 37162 38255 41534 45906 55743 62301 67830 76510 92905 103835 111486 114765 124602 130067 145369 185810 207670 229530 260134 278715 290738 311505 353039 390201 436107 557430 623010 650335 706078 726845 780402 872214 1059117 1300670 1453690 1765195 1951005 2118234 2180535 2471273 3530390 3902010 4361070 4942546 5295585 7413819 10591170 12356365 14827638 24712730 37069095 74138190