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90703152 = 243541569
BaseRepresentation
bin1010110100000…
…00010100110000
320022200012100000
411122000110300
5141210000102
613000030000
72150651451
oct532002460
9208605300
1090703152
1147221691
1226462300
1315a3a007
14c091128
157e6a01c
hex5680530

90703152 has 120 divisors (see below), whose sum is σ = 270138960. Its totient is φ = 29445120.

The previous prime is 90703141. The next prime is 90703153. The reversal of 90703152 is 25130709.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (90703153) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 159124 + ... + 159692.

It is an arithmetic number, because the mean of its divisors is an integer number (2251158).

Almost surely, 290703152 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 90703152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135069480).

90703152 is an abundant number, since it is smaller than the sum of its proper divisors (179435808).

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

90703152 is a wasteful number, since it uses less digits than its factorization.

90703152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 90703152 is about 9523.8202418987. The cubic root of 90703152 is about 449.3045256993.

The spelling of 90703152 in words is "ninety million, seven hundred three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 41 48 54 72 81 82 108 123 144 162 164 216 243 246 324 328 369 432 486 492 569 648 656 738 972 984 1107 1138 1296 1476 1707 1944 1968 2214 2276 2952 3321 3414 3888 4428 4552 5121 5904 6642 6828 8856 9104 9963 10242 13284 13656 15363 17712 19926 20484 23329 26568 27312 30726 39852 40968 46089 46658 53136 61452 69987 79704 81936 92178 93316 122904 138267 139974 159408 184356 186632 209961 245808 276534 279948 368712 373264 419922 553068 559896 629883 737424 839844 1106136 1119792 1259766 1679688 1889649 2212272 2519532 3359376 3779298 5039064 5668947 7558596 10078128 11337894 15117192 22675788 30234384 45351576 90703152