Search a number
-
+
90311640 = 23355231439
BaseRepresentation
bin1010110001000…
…00101111011000
320021221022021120
411120200233120
5141104433030
612543405240
72144431146
oct530405730
9207838246
1090311640
1146a84521
12262b3820
1315930a53
14bdcc596
157dde010
hex5620bd8

90311640 has 64 divisors (see below), whose sum is σ = 271641600. Its totient is φ = 24020352.

The previous prime is 90311621. The next prime is 90311651. The reversal of 90311640 is 4611309.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 90311640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62041 + ... + 63479.

It is an arithmetic number, because the mean of its divisors is an integer number (4244400).

Almost surely, 290311640 is an apocalyptic number.

It is an amenable number.

90311640 is an abundant number, since it is smaller than the sum of its proper divisors (181329960).

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

90311640 is a wasteful number, since it uses less digits than its factorization.

90311640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1976 (or 1972 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 90311640 is about 9503.2436567732. The cubic root of 90311640 is about 448.6571324704.

Adding to 90311640 its reverse (4611309), we get a palindrome (94922949).

It can be divided in two parts, 90311 and 640, that added together give a triangular number (90951 = T426).

The spelling of 90311640 in words is "ninety million, three hundred eleven thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 523 1046 1439 1569 2092 2615 2878 3138 4184 4317 5230 5756 6276 7195 7845 8634 10460 11512 12552 14390 15690 17268 20920 21585 28780 31380 34536 43170 57560 62760 86340 172680 752597 1505194 2257791 3010388 3762985 4515582 6020776 7525970 9031164 11288955 15051940 18062328 22577910 30103880 45155820 90311640