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1071373920 = 25355937831
BaseRepresentation
bin111111110110111…
…101111001100000
32202122222102201120
4333312331321200
54143232431140
6254151132240
735356346061
oct7766757140
92678872646
101071373920
114aa8430a1
1225a974080
13140c6a186
14a240a568
15640ce1d0
hex3fdbde60

1071373920 has 96 divisors (see below), whose sum is σ = 3432119040. Its totient is φ = 280849920.

The previous prime is 1071373913. The next prime is 1071373969. The reversal of 1071373920 is 293731701.

It is a happy number.

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

It is a super-2 number, since 2×10713739202 = 2295684152912332800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9405 + ... + 47235.

It is an arithmetic number, because the mean of its divisors is an integer number (35751240).

Almost surely, 21071373920 is an apocalyptic number.

1071373920 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 1071373920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1716059520).

1071373920 is an abundant number, since it is smaller than the sum of its proper divisors (2360745120).

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

1071373920 is a wasteful number, since it uses less digits than its factorization.

1071373920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37908 (or 37900 counting only the distinct ones).

The product of its (nonzero) digits is 7938, while the sum is 33.

The square root of 1071373920 is about 32731.8487103921. The cubic root of 1071373920 is about 1023.2467095794.

The spelling of 1071373920 in words is "one billion, seventy-one million, three hundred seventy-three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 59 60 80 96 118 120 160 177 236 240 295 354 472 480 590 708 885 944 1180 1416 1770 1888 2360 2832 3540 4720 5664 7080 9440 14160 28320 37831 75662 113493 151324 189155 226986 302648 378310 453972 567465 605296 756620 907944 1134930 1210592 1513240 1815888 2232029 2269860 3026480 3631776 4464058 4539720 6052960 6696087 8928116 9079440 11160145 13392174 17856232 18158880 22320290 26784348 33480435 35712464 44640580 53568696 66960870 71424928 89281160 107137392 133921740 178562320 214274784 267843480 357124640 535686960 1071373920