Search a number
-
+
90709245 = 32511297189
BaseRepresentation
bin1010110100000…
…01110011111101
320022200111200200
411122001303331
5141210143440
613000114113
72151005304
oct532016375
9208614620
1090709245
1147226220
1226465939
1315a3ca13
14c09343b
157e6bc30
hex5681cfd

90709245 has 96 divisors (see below), whose sum is σ = 181958400. Its totient is φ = 41395200.

The previous prime is 90709219. The next prime is 90709271. The reversal of 90709245 is 54290709.

It is an interprime number because it is at equal distance from previous prime (90709219) and next prime (90709271).

It is not a de Polignac number, because 90709245 - 27 = 90709117 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1019161 + ... + 1019249.

It is an arithmetic number, because the mean of its divisors is an integer number (1895400).

Almost surely, 290709245 is an apocalyptic number.

It is an amenable number.

90709245 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

90709245 is a wasteful number, since it uses less digits than its factorization.

90709245 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 90709245 is about 9524.1401186669. The cubic root of 90709245 is about 449.3145861772.

The spelling of 90709245 in words is "ninety million, seven hundred nine thousand, two hundred forty-five".

Divisors: 1 3 5 9 11 15 29 33 45 55 71 87 89 99 145 165 213 261 267 319 355 435 445 495 639 781 801 957 979 1065 1305 1335 1595 2059 2343 2581 2871 2937 3195 3905 4005 4785 4895 6177 6319 7029 7743 8811 10295 11715 12905 14355 14685 18531 18957 22649 23229 28391 30885 31595 35145 38715 44055 56871 67947 69509 85173 92655 94785 113245 116145 141955 183251 203841 208527 255519 284355 339735 347545 425865 549753 625581 916255 1019205 1042635 1277595 1649259 2015761 2748765 3127905 6047283 8246295 10078805 18141849 30236415 90709245