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90158140 = 22517283937
BaseRepresentation
bin1010101111110…
…11010000111100
320021122111201101
411113323100330
5141040030030
612540222444
72143221502
oct527732074
9207574641
1090158140
114698a166
122623aa24
13158a8c17
14bd8c672
157dad7ca
hex55fb43c

90158140 has 48 divisors (see below), whose sum is σ = 201392352. Its totient is φ = 33785856.

The previous prime is 90158113. The next prime is 90158147. The reversal of 90158140 is 4185109.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 90158099 and 90158108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90158147) 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, 95752 + ... + 96688.

It is an arithmetic number, because the mean of its divisors is an integer number (4195674).

Almost surely, 290158140 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 90158140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100696176).

90158140 is an abundant number, since it is smaller than the sum of its proper divisors (111234212).

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

90158140 is a wasteful number, since it uses less digits than its factorization.

90158140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1246 (or 1244 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 28.

The square root of 90158140 is about 9495.1640322851. The cubic root of 90158140 is about 448.4027986073.

The spelling of 90158140 in words is "ninety million, one hundred fifty-eight thousand, one hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 283 340 566 937 1132 1415 1874 2830 3748 4685 4811 5660 9370 9622 15929 18740 19244 24055 31858 48110 63716 79645 96220 159290 265171 318580 530342 1060684 1325855 2651710 4507907 5303420 9015814 18031628 22539535 45079070 90158140