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122945790 = 23511292443
BaseRepresentation
bin1110101010000…
…00000011111110
322120100021220210
413111000003332
5222433231130
620111053250
73022010352
oct725000376
9276307823
10122945790
1163443aa0
1235211226
131c6189b6
1412485462
15abd85b0
hex75400fe

122945790 has 96 divisors (see below), whose sum is σ = 334129536. Its totient is φ = 28712320.

The previous prime is 122945759. The next prime is 122945791. The reversal of 122945790 is 97549221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122945791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 277309 + ... + 277751.

It is an arithmetic number, because the mean of its divisors is an integer number (3480516).

Almost surely, 2122945790 is an apocalyptic number.

122945790 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 122945790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167064768).

122945790 is an abundant number, since it is smaller than the sum of its proper divisors (211183746).

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

122945790 is a wasteful number, since it uses less digits than its factorization.

122945790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 122945790 is about 11088.0922615209. The cubic root of 122945790 is about 497.2459111759.

The spelling of 122945790 in words is "one hundred twenty-two million, nine hundred forty-five thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 10 11 15 22 29 30 33 55 58 66 87 110 145 165 174 290 319 330 435 443 638 841 870 886 957 1329 1595 1682 1914 2215 2523 2658 3190 4205 4430 4785 4873 5046 6645 8410 9251 9570 9746 12615 12847 13290 14619 18502 24365 25230 25694 27753 29238 38541 46255 48730 55506 64235 73095 77082 92510 128470 138765 141317 146190 192705 277530 282634 372563 385410 423951 706585 745126 847902 1117689 1413170 1862815 2119755 2235378 3725630 4098193 4239510 5588445 8196386 11176890 12294579 20490965 24589158 40981930 61472895 122945790