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90963420 = 223541103359
BaseRepresentation
bin1010110101111…
…11110111011100
320100011102100120
411122333313130
5141241312140
613005354540
72153114322
oct532776734
9210142316
1090963420
114738a189
1226568a50
1315acb612
14c11bd12
157ebc1d0
hex56bfddc

90963420 has 96 divisors (see below), whose sum is σ = 264176640. Its totient is φ = 23370240.

The previous prime is 90963403. The next prime is 90963449. The reversal of 90963420 is 2436909.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 253201 + ... + 253559.

It is an arithmetic number, because the mean of its divisors is an integer number (2751840).

Almost surely, 290963420 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 90963420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132088320).

90963420 is an abundant number, since it is smaller than the sum of its proper divisors (173213220).

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

90963420 is a wasteful number, since it uses less digits than its factorization.

90963420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 90963420 is about 9537.4745084849. The cubic root of 90963420 is about 449.7338673299.

The spelling of 90963420 in words is "ninety million, nine hundred sixty-three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 82 103 123 164 205 206 246 309 359 410 412 492 515 615 618 718 820 1030 1077 1230 1236 1436 1545 1795 2060 2154 2460 3090 3590 4223 4308 5385 6180 7180 8446 10770 12669 14719 16892 21115 21540 25338 29438 36977 42230 44157 50676 58876 63345 73595 73954 84460 88314 110931 126690 147190 147908 176628 184885 220785 221862 253380 294380 369770 441570 443724 554655 739540 883140 1109310 1516057 2218620 3032114 4548171 6064228 7580285 9096342 15160570 18192684 22740855 30321140 45481710 90963420