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90376470 = 232529311117
BaseRepresentation
bin1010110001100…
…00100100010110
320022001121012200
411120300210112
5141114021340
612545025330
72145121152
oct530604426
9208047180
1090376470
11470191a8
1226325246
1315954402
14c008062
157e03330
hex5630916

90376470 has 96 divisors (see below), whose sum is σ = 251147520. Its totient is φ = 22498560.

The previous prime is 90376469. The next prime is 90376477. The reversal of 90376470 is 7467309.

90376470 is a `hidden beast` number, since 9 + 0 + 3 + 7 + 647 + 0 = 666.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90376477) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 80352 + ... + 81468.

It is an arithmetic number, because the mean of its divisors is an integer number (2616120).

Almost surely, 290376470 is an apocalyptic number.

90376470 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 90376470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125573760).

90376470 is an abundant number, since it is smaller than the sum of its proper divisors (160771050).

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

90376470 is a wasteful number, since it uses less digits than its factorization.

90376470 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1190 (or 1187 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 90376470 is about 9506.6539854988. The cubic root of 90376470 is about 448.7644626174.

The spelling of 90376470 in words is "ninety million, three hundred seventy-six thousand, four hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 31 45 58 62 87 90 93 145 155 174 186 261 279 290 310 435 465 522 558 870 899 930 1117 1305 1395 1798 2234 2610 2697 2790 3351 4495 5394 5585 6702 8091 8990 10053 11170 13485 16182 16755 20106 26970 32393 33510 34627 40455 50265 64786 69254 80910 97179 100530 103881 161965 173135 194358 207762 291537 311643 323930 346270 485895 519405 583074 623286 971790 1004183 1038810 1457685 1558215 2008366 2915370 3012549 3116430 5020915 6025098 9037647 10041830 15062745 18075294 30125490 45188235 90376470