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90964230 = 23573189157
BaseRepresentation
bin1010110110000…
…00000100000110
320100011110110120
411123000010012
5141241323410
613005402410
72153116560
oct533000406
9210143416
1090964230
114738a855
1226569406
1315acbab6
14c11c330
157ebc570
hex56c0106

90964230 has 128 divisors (see below), whose sum is σ = 262103040. Its totient is φ = 19768320.

The previous prime is 90964219. The next prime is 90964243. The reversal of 90964230 is 3246909.

It is a super-2 number, since 2×909642302 = 16548982278985800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 90964191 and 90964200.

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, 579312 + ... + 579468.

It is an arithmetic number, because the mean of its divisors is an integer number (2047680).

Almost surely, 290964230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90964230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131051520).

90964230 is an abundant number, since it is smaller than the sum of its proper divisors (171138810).

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

90964230 is a wasteful number, since it uses less digits than its factorization.

90964230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294.

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 90964230 is about 9537.5169724620. The cubic root of 90964230 is about 449.7352022378.

The spelling of 90964230 in words is "ninety million, nine hundred sixty-four thousand, two hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 31 35 42 62 70 89 93 105 155 157 178 186 210 217 267 310 314 434 445 465 471 534 623 651 785 890 930 942 1085 1099 1246 1302 1335 1570 1869 2170 2198 2355 2670 2759 3115 3255 3297 3738 4710 4867 5495 5518 6230 6510 6594 8277 9345 9734 10990 13795 13973 14601 16485 16554 18690 19313 24335 27590 27946 29202 32970 34069 38626 41385 41919 48670 57939 68138 69865 73005 82770 83838 96565 97811 102207 115878 139730 146010 170345 193130 195622 204414 209595 289695 293433 340690 419190 433163 489055 511035 579390 586866 866326 978110 1022070 1299489 1467165 2165815 2598978 2934330 3032141 4331630 6064282 6497445 9096423 12994890 15160705 18192846 30321410 45482115 90964230