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90151040 = 275720123
BaseRepresentation
bin1010101111110…
…01100010000000
320021122010222102
411113321202000
5141034313130
612540125532
72143162010
oct527714200
9207563872
1090151040
11469848a1
12262368a8
13158a5915
14bd89c40
157dab645
hex55f9880

90151040 has 64 divisors (see below), whose sum is σ = 246317760. Its totient is φ = 30907392.

The previous prime is 90151027. The next prime is 90151049. The reversal of 90151040 is 4015109.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90151049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5582 + ... + 14541.

It is an arithmetic number, because the mean of its divisors is an integer number (3848715).

Almost surely, 290151040 is an apocalyptic number.

It is an amenable number.

90151040 is an abundant number, since it is smaller than the sum of its proper divisors (156166720).

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

90151040 is a wasteful number, since it uses less digits than its factorization.

90151040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20149 (or 20137 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 20.

The square root of 90151040 is about 9494.7901503930. The cubic root of 90151040 is about 448.3910276478.

Adding to 90151040 its reverse (4015109), we get a palindrome (94166149).

The spelling of 90151040 in words is "ninety million, one hundred fifty-one thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 280 320 448 560 640 896 1120 2240 4480 20123 40246 80492 100615 140861 160984 201230 281722 321968 402460 563444 643936 704305 804920 1126888 1287872 1408610 1609840 2253776 2575744 2817220 3219680 4507552 5634440 6439360 9015104 11268880 12878720 18030208 22537760 45075520 90151040