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1055390292 = 2232117137537
BaseRepresentation
bin111110111001111…
…111101001010100
32201112220101022100
4332321333221110
54130134442132
6252420402100
735103445425
oct7671775124
92645811270
101055390292
114a1816390
12255546330
1313a861bc8
14a024964c
15629c337c
hex3ee7fa54

1055390292 has 72 divisors (see below), whose sum is σ = 2951387712. Its totient is φ = 315302400.

The previous prime is 1055390291. The next prime is 1055390317. The reversal of 1055390292 is 2920935501.

It is a happy number.

1055390292 is a `hidden beast` number, since 10 + 553 + 9 + 0 + 2 + 92 = 666.

It is a super-2 number, since 2×10553902922 = 2227697336895690528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1055390291) 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, 9348 + ... + 46884.

It is an arithmetic number, because the mean of its divisors is an integer number (40991496).

Almost surely, 21055390292 is an apocalyptic number.

1055390292 is a gapful number since it is divisible by the number (12) 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 1055390292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1475693856).

1055390292 is an abundant number, since it is smaller than the sum of its proper divisors (1895997420).

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

1055390292 is a wasteful number, since it uses less digits than its factorization.

1055390292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37629 (or 37624 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The square root of 1055390292 is about 32486.7710306826. The cubic root of 1055390292 is about 1018.1326503613.

The spelling of 1055390292 in words is "one billion, fifty-five million, three hundred ninety thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 71 99 132 142 198 213 284 396 426 639 781 852 1278 1562 2343 2556 3124 4686 7029 9372 14058 28116 37537 75074 112611 150148 225222 337833 412907 450444 675666 825814 1238721 1351332 1651628 2477442 2665127 3716163 4954884 5330254 7432326 7995381 10660508 14864652 15990762 23986143 29316397 31981524 47972286 58632794 87949191 95944572 117265588 175898382 263847573 351796764 527695146 1055390292