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1052250720 = 25359672267
BaseRepresentation
bin111110101110000…
…001001001100000
32201022222212121220
4332232001021200
54123334010340
6252225215040
735034661233
oct7656011140
92638885556
101052250720
1149aa715a4
12254491480
1313a002b81
149da6d41a
15625a2ed0
hex3eb81260

1052250720 has 96 divisors (see below), whose sum is σ = 3319481088. Its totient is φ = 280186368.

The previous prime is 1052250707. The next prime is 1052250739. The reversal of 1052250720 is 270522501.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×10522507202 = 2214463155481036800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 15 ways as a sum of consecutive naturals, for example, 463027 + ... + 465293.

It is an arithmetic number, because the mean of its divisors is an integer number (34577928).

Almost surely, 21052250720 is an apocalyptic number.

1052250720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1052250720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1659740544).

1052250720 is an abundant number, since it is smaller than the sum of its proper divisors (2267230368).

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

1052250720 is a wasteful number, since it uses less digits than its factorization.

1052250720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3252 (or 3244 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 24.

The square root of 1052250720 is about 32438.4142645722. The cubic root of 1052250720 is about 1017.1220682473.

The spelling of 1052250720 in words is "one billion, fifty-two million, two hundred fifty thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 967 1934 2267 2901 3868 4534 4835 5802 6801 7736 9068 9670 11335 11604 13602 14505 15472 18136 19340 22670 23208 27204 29010 30944 34005 36272 38680 45340 46416 54408 58020 68010 72544 77360 90680 92832 108816 116040 136020 154720 181360 217632 232080 272040 362720 464160 544080 1088160 2192189 4384378 6576567 8768756 10960945 13153134 17537512 21921890 26306268 32882835 35075024 43843780 52612536 65765670 70150048 87687560 105225072 131531340 175375120 210450144 263062680 350750240 526125360 1052250720