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90531480 = 233513131443
BaseRepresentation
bin1010110010101…
…10011010011000
320022100110211210
411121112122120
5141134001410
612552223120
72146335114
oct531263230
9208313753
1090531480
1147114706
122639aaa0
13159a9b30
14c048744
157e34220
hex5656698

90531480 has 128 divisors (see below), whose sum is σ = 295384320. Its totient is φ = 22064640.

The previous prime is 90531431. The next prime is 90531491. The reversal of 90531480 is 8413509.

It is a super-3 number, since 3×905314803 (a number of 25 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 204139 + ... + 204581.

It is an arithmetic number, because the mean of its divisors is an integer number (2307690).

Almost surely, 290531480 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 90531480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147692160).

90531480 is an abundant number, since it is smaller than the sum of its proper divisors (204852840).

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

90531480 is a wasteful number, since it uses less digits than its factorization.

90531480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 90531480 is about 9514.8032034299. The cubic root of 90531480 is about 449.0208835150.

Adding to 90531480 its reverse (8413509), we get a palindrome (98944989).

It can be divided in two parts, 905 and 31480, that added together give a triangular number (32385 = T254).

The spelling of 90531480 in words is "ninety million, five hundred thirty-one thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 131 156 195 260 262 312 390 393 443 520 524 655 780 786 886 1048 1310 1329 1560 1572 1703 1772 1965 2215 2620 2658 3144 3406 3544 3930 4430 5109 5240 5316 5759 6645 6812 7860 8515 8860 10218 10632 11518 13290 13624 15720 17030 17277 17720 20436 23036 25545 26580 28795 34060 34554 40872 46072 51090 53160 57590 58033 68120 69108 86385 102180 115180 116066 138216 172770 174099 204360 230360 232132 290165 345540 348198 464264 580330 691080 696396 754429 870495 1160660 1392792 1508858 1740990 2263287 2321320 3017716 3481980 3772145 4526574 6035432 6963960 7544290 9053148 11316435 15088580 18106296 22632870 30177160 45265740 90531480