Search a number
-
+
90991020 = 223510913913
BaseRepresentation
bin1010110110001…
…10100110101100
320100012211012210
411123012212230
5141243203040
613010130420
72153260641
oct533064654
9210184183
1090991020
11473a899a
1226580a10
1315b0b053
14c127dc8
157ec5480
hex56c69ac

90991020 has 48 divisors (see below), whose sum is σ = 257130720. Its totient is φ = 24039936.

The previous prime is 90990997. The next prime is 90991027. The reversal of 90991020 is 2019909.

It is a super-4 number, since 4×909910204 (a number of 33 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (90991027) 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, 417 + ... + 13496.

It is an arithmetic number, because the mean of its divisors is an integer number (5356890).

Almost surely, 290991020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90991020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128565360).

90991020 is an abundant number, since it is smaller than the sum of its proper divisors (166139700).

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

90991020 is a wasteful number, since it uses less digits than its factorization.

90991020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14034 (or 14032 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 30.

The square root of 90991020 is about 9538.9213226654. The cubic root of 90991020 is about 449.7793486144.

The spelling of 90991020 in words is "ninety million, nine hundred ninety-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 109 218 327 436 545 654 1090 1308 1635 2180 3270 6540 13913 27826 41739 55652 69565 83478 139130 166956 208695 278260 417390 834780 1516517 3033034 4549551 6066068 7582585 9099102 15165170 18198204 22747755 30330340 45495510 90991020