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90429330 = 23523831579
BaseRepresentation
bin1010110001111…
…01011110010010
320022011021201110
411120331132102
5141122214310
612550114150
72145431235
oct530753622
9208137643
1090429330
1147054992
122634b956
13159724a4
14c01d41c
157e13d20
hex563d792

90429330 has 64 divisors (see below), whose sum is σ = 229340160. Its totient is φ = 22773696.

The previous prime is 90429329. The next prime is 90429347. The reversal of 90429330 is 3392409.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 56481 + ... + 58059.

It is an arithmetic number, because the mean of its divisors is an integer number (3583440).

Almost surely, 290429330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90429330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114670080).

90429330 is an abundant number, since it is smaller than the sum of its proper divisors (138910830).

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

90429330 is a wasteful number, since it uses less digits than its factorization.

90429330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1695.

The product of its (nonzero) digits is 5832, while the sum is 30.

The square root of 90429330 is about 9509.4337370845. The cubic root of 90429330 is about 448.8519376949.

The spelling of 90429330 in words is "ninety million, four hundred twenty-nine thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 83 115 138 166 230 249 345 415 498 690 830 1245 1579 1909 2490 3158 3818 4737 5727 7895 9474 9545 11454 15790 19090 23685 28635 36317 47370 57270 72634 108951 131057 181585 217902 262114 363170 393171 544755 655285 786342 1089510 1310570 1965855 3014311 3931710 6028622 9042933 15071555 18085866 30143110 45214665 90429330