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525342090 = 235713199967
BaseRepresentation
bin11111010100000…
…001010110001010
31100121112010212110
4133110001112022
52033441421330
6124043523150
716006222410
oct3724012612
91317463773
10525342090
1124a5a6319
12127b294b6
1384ab8c10
144dab12b0
15311c1db0
hex1f50158a

525342090 has 128 divisors (see below), whose sum is σ = 1561190400. Its totient is φ = 110170368.

The previous prime is 525342079. The next prime is 525342101. The reversal of 525342090 is 90243525.

525342090 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (525342079) and next prime (525342101).

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

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 63 ways as a sum of consecutive naturals, for example, 542787 + ... + 543753.

It is an arithmetic number, because the mean of its divisors is an integer number (12196800).

Almost surely, 2525342090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 525342090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780595200).

525342090 is an abundant number, since it is smaller than the sum of its proper divisors (1035848310).

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

525342090 is a wasteful number, since it uses less digits than its factorization.

525342090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1196.

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 525342090 is about 22920.3422749312. The cubic root of 525342090 is about 806.8895033196.

The spelling of 525342090 in words is "five hundred twenty-five million, three hundred forty-two thousand, ninety".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 65 70 78 91 105 130 182 195 199 210 273 390 398 455 546 597 910 967 995 1194 1365 1393 1934 1990 2587 2730 2786 2901 2985 4179 4835 5174 5802 5970 6769 6965 7761 8358 9670 12571 12935 13538 13930 14505 15522 18109 20307 20895 25142 25870 29010 33845 36218 37713 38805 40614 41790 54327 62855 67690 75426 77610 87997 90545 101535 108654 125710 175994 181090 188565 192433 203070 263991 271635 377130 384866 439985 527982 543270 577299 879970 962165 1154598 1319955 1347031 1924330 2501629 2639910 2694062 2886495 4041093 5003258 5772990 6735155 7504887 8082186 12508145 13470310 15009774 17511403 20205465 25016290 35022806 37524435 40410930 52534209 75048870 87557015 105068418 175114030 262671045 525342090