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1052923320 = 233356531493
BaseRepresentation
bin111110110000100…
…101010110111000
32201101021001021000
4332300211112320
54124022021240
6252251445000
735043462201
oct7660452670
92641231230
101052923320
114a0390969
12254756760
1313a1aa067
149dba65a8
1562687430
hex3ec255b8

1052923320 has 128 divisors (see below), whose sum is σ = 3517473600. Its totient is φ = 280161792.

The previous prime is 1052923307. The next prime is 1052923321. The reversal of 1052923320 is 233292501.

It is a super-2 number, since 2×10529233202 = 2217295035599644800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1052923321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 704494 + ... + 705986.

Almost surely, 21052923320 is an apocalyptic number.

1052923320 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 1052923320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1758736800).

1052923320 is an abundant number, since it is smaller than the sum of its proper divisors (2464550280).

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

1052923320 is a wasteful number, since it uses less digits than its factorization.

1052923320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2166 (or 2156 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 1052923320 is about 32448.7799462476. The cubic root of 1052923320 is about 1017.3387373292.

The spelling of 1052923320 in words is "one billion, fifty-two million, nine hundred twenty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 653 1080 1306 1493 1959 2612 2986 3265 3918 4479 5224 5877 5972 6530 7465 7836 8958 9795 11754 11944 13060 13437 14930 15672 17631 17916 19590 22395 23508 26120 26874 29385 29860 35262 35832 39180 40311 44790 47016 53748 58770 59720 67185 70524 78360 80622 88155 89580 107496 117540 134370 141048 161244 176310 179160 201555 235080 268740 322488 352620 403110 537480 705240 806220 974929 1612440 1949858 2924787 3899716 4874645 5849574 7799432 8774361 9749290 11699148 14623935 17548722 19498580 23398296 26323083 29247870 35097444 38997160 43871805 52646166 58495740 70194888 87743610 105292332 116991480 131615415 175487220 210584664 263230830 350974440 526461660 1052923320