Search a number
-
+
90447960 = 23352332771
BaseRepresentation
bin1010110010000…
…10000001011000
320022012020021110
411121002001120
5141123313320
612550340320
72145536451
oct531020130
9208166243
1090447960
1147067989
122635a6a0
131597ab05
14c026128
157e195e0
hex5642058

90447960 has 64 divisors (see below), whose sum is σ = 283150080. Its totient is φ = 23070080.

The previous prime is 90447947. The next prime is 90447967. The reversal of 90447960 is 6974409.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90447967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13626 + ... + 19145.

It is an arithmetic number, because the mean of its divisors is an integer number (4424220).

Almost surely, 290447960 is an apocalyptic number.

It is an amenable number.

90447960 is an abundant number, since it is smaller than the sum of its proper divisors (192702120).

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

90447960 is a wasteful number, since it uses less digits than its factorization.

90447960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32808 (or 32804 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 90447960 is about 9510.4132402330. The cubic root of 90447960 is about 448.8827593226.

The spelling of 90447960 in words is "ninety million, four hundred forty-seven thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 345 460 552 690 920 1380 2760 32771 65542 98313 131084 163855 196626 262168 327710 393252 491565 655420 753733 786504 983130 1310840 1507466 1966260 2261199 3014932 3768665 3932520 4522398 6029864 7537330 9044796 11305995 15074660 18089592 22611990 30149320 45223980 90447960