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90068370 = 235738753
BaseRepresentation
bin1010101111001…
…01010110010010
320021110221120120
411113211112102
5141024141440
612534251110
72142366000
oct527452622
9207427516
1090068370
1146928777
12261b6a96
13158770c2
14bd67a70
157d91dd0
hex55e5592

90068370 has 64 divisors (see below), whose sum is σ = 252115200. Its totient is φ = 20584704.

The previous prime is 90068369. The next prime is 90068371. The reversal of 90068370 is 7386009.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (90068369) and next prime (90068371).

It is a super-2 number, since 2×900683702 = 16224622548913800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (90068371) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5914 + ... + 14666.

It is an arithmetic number, because the mean of its divisors is an integer number (3939300).

Almost surely, 290068370 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90068370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126057600).

90068370 is an abundant number, since it is smaller than the sum of its proper divisors (162046830).

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

90068370 is a wasteful number, since it uses less digits than its factorization.

90068370 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8784 (or 8770 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 90068370 is about 9490.4357118101. The cubic root of 90068370 is about 448.2539250593.

The spelling of 90068370 in words is "ninety million, sixty-eight thousand, three hundred seventy".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 147 210 245 294 343 490 686 735 1029 1470 1715 2058 3430 5145 8753 10290 17506 26259 43765 52518 61271 87530 122542 131295 183813 262590 306355 367626 428897 612710 857794 919065 1286691 1838130 2144485 2573382 3002279 4288970 6004558 6433455 9006837 12866910 15011395 18013674 30022790 45034185 90068370