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90193740 = 223571316519
BaseRepresentation
bin1010110000000…
…11111101001100
320021201022112220
411120003331030
5141042144430
612541055340
72143430340
oct530037514
9207638486
1090193740
1146a0398a
1226257550
13158bc1a0
14bd9b620
157db9110
hex5603f4c

90193740 has 96 divisors (see below), whose sum is σ = 310840320. Its totient is φ = 19028736.

The previous prime is 90193739. The next prime is 90193759. The reversal of 90193740 is 4739109.

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, 2800 + ... + 13719.

It is an arithmetic number, because the mean of its divisors is an integer number (3237920).

Almost surely, 290193740 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 90193740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155420160).

90193740 is an abundant number, since it is smaller than the sum of its proper divisors (220646580).

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

90193740 is a wasteful number, since it uses less digits than its factorization.

90193740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16551 (or 16549 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 33.

The square root of 90193740 is about 9497.0384857597. The cubic root of 90193740 is about 448.4618098773.

The spelling of 90193740 in words is "ninety million, one hundred ninety-three thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 13 14 15 20 21 26 28 30 35 39 42 52 60 65 70 78 84 91 105 130 140 156 182 195 210 260 273 364 390 420 455 546 780 910 1092 1365 1820 2730 5460 16519 33038 49557 66076 82595 99114 115633 165190 198228 214747 231266 247785 330380 346899 429494 462532 495570 578165 644241 693798 858988 991140 1073735 1156330 1288482 1387596 1503229 1734495 2147470 2312660 2576964 3006458 3221205 3468990 4294940 4509687 6012916 6442410 6937980 7516145 9019374 12884820 15032290 18038748 22548435 30064580 45096870 90193740