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90439965 = 32571143607
BaseRepresentation
bin1010110010000…
…00000100011101
320022011211022100
411121000010131
5141123034330
612550235313
72145504240
oct531000435
9208154270
1090439965
1147061980
1226355b39
1315977295
14c023257
157e17060
hex564011d

90439965 has 96 divisors (see below), whose sum is σ = 200318976. Its totient is φ = 36650880.

The previous prime is 90439963. The next prime is 90439967. The reversal of 90439965 is 56993409.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (90439963) and next prime (90439967).

It is not a de Polignac number, because 90439965 - 21 = 90439963 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 90439965.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90439961) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 148692 + ... + 149298.

It is an arithmetic number, because the mean of its divisors is an integer number (2086656).

Almost surely, 290439965 is an apocalyptic number.

It is an amenable number.

90439965 is an abundant number, since it is smaller than the sum of its proper divisors (109879011).

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

90439965 is a wasteful number, since it uses less digits than its factorization.

90439965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The square root of 90439965 is about 9509.9929022056. The cubic root of 90439965 is about 448.8695328463.

The spelling of 90439965 in words is "ninety million, four hundred thirty-nine thousand, nine hundred sixty-five".

Divisors: 1 3 5 7 9 11 15 21 33 35 43 45 55 63 77 99 105 129 165 215 231 301 315 385 387 473 495 607 645 693 903 1155 1419 1505 1821 1935 2365 2709 3035 3311 3465 4249 4257 4515 5463 6677 7095 9105 9933 12747 13545 16555 20031 21245 21285 26101 27315 29799 33385 38241 46739 49665 60093 63735 78303 100155 130505 140217 148995 182707 191205 233695 234909 287111 300465 391515 420651 548121 701085 861333 913535 1174545 1435555 1644363 2009777 2103255 2583999 2740605 4306665 6029331 8221815 10048885 12919995 18087993 30146655 90439965