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157926090 = 235717311427
BaseRepresentation
bin10010110100111…
…00001011001010
3102000011110212110
421122130023022
5310412113330
623400523150
73625230630
oct1132341312
9360143773
10157926090
1181166233
1244a804b6
13269457ba
1416d8d350
15dce7db0
hex969c2ca

157926090 has 128 divisors (see below), whose sum is σ = 473776128. Its totient is φ = 32855040.

The previous prime is 157926077. The next prime is 157926113. The reversal of 157926090 is 90629751.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 109957 + ... + 111383.

It is an arithmetic number, because the mean of its divisors is an integer number (3701376).

Almost surely, 2157926090 is an apocalyptic number.

157926090 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 157926090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236888064).

157926090 is an abundant number, since it is smaller than the sum of its proper divisors (315850038).

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

157926090 is a wasteful number, since it uses less digits than its factorization.

157926090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1492.

The product of its (nonzero) digits is 34020, while the sum is 39.

The square root of 157926090 is about 12566.8647641327. The cubic root of 157926090 is about 540.5277077307.

The spelling of 157926090 in words is "one hundred fifty-seven million, nine hundred twenty-six thousand, ninety".

Divisors: 1 2 3 5 6 7 10 14 15 17 21 30 31 34 35 42 51 62 70 85 93 102 105 119 155 170 186 210 217 238 255 310 357 434 465 510 527 595 651 714 930 1054 1085 1190 1302 1427 1581 1785 2170 2635 2854 3162 3255 3570 3689 4281 5270 6510 7135 7378 7905 8562 9989 11067 14270 15810 18445 19978 21405 22134 24259 29967 36890 42810 44237 48518 49945 55335 59934 72777 88474 99890 110670 121295 132711 145554 149835 169813 221185 242590 265422 299670 309659 339626 363885 442370 509439 619318 663555 727770 752029 849065 928977 1018878 1327110 1504058 1548295 1698130 1857954 2256087 2547195 3096590 3760145 4512174 4644885 5094390 5264203 7520290 9289770 10528406 11280435 15792609 22560870 26321015 31585218 52642030 78963045 157926090