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90745470 = 232567101149
BaseRepresentation
bin1010110100010…
…10101001111110
320022202100101100
411122022221332
5141212323340
613000553530
72151216024
oct532125176
9208670340
1090745470
1147250462
12264828a6
1315a5335a
14c0a2714
157e77830
hex568aa7e

90745470 has 96 divisors (see below), whose sum is σ = 243453600. Its totient is φ = 23443200.

The previous prime is 90745469. The next prime is 90745471. The reversal of 90745470 is 7454709.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (90745469) and next prime (90745471).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90745471) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 608956 + ... + 609104.

It is an arithmetic number, because the mean of its divisors is an integer number (2535975).

Almost surely, 290745470 is an apocalyptic number.

90745470 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 90745470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121726800).

90745470 is an abundant number, since it is smaller than the sum of its proper divisors (152708130).

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

90745470 is a wasteful number, since it uses less digits than its factorization.

90745470 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 90745470 is about 9526.0416753235. The cubic root of 90745470 is about 449.3743899112.

The spelling of 90745470 in words is "ninety million, seven hundred forty-five thousand, four hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 67 90 101 134 149 201 202 298 303 335 402 447 505 603 606 670 745 894 909 1005 1010 1206 1341 1490 1515 1818 2010 2235 2682 3015 3030 4470 4545 6030 6705 6767 9090 9983 13410 13534 15049 19966 20301 29949 30098 33835 40602 45147 49915 59898 60903 67670 75245 89847 90294 99830 101505 121806 135441 149745 150490 179694 203010 225735 270882 299490 304515 449235 451470 609030 677205 898470 1008283 1354410 2016566 3024849 5041415 6049698 9074547 10082830 15124245 18149094 30248490 45372735 90745470