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992070768 = 2431317412281
BaseRepresentation
bin111011001000011…
…100110001110000
32120010202102020210
4323020130301300
54012432231033
6242235304120
733404314413
oct7310346160
92503672223
10992070768
11469aa84a7
122382ab040
1312a6c2030
1495a85b7a
155c166d63
hex3b21cc70

992070768 has 160 divisors (see below), whose sum is σ = 2994933312. Its totient is φ = 280166400.

The previous prime is 992070767. The next prime is 992070797. The reversal of 992070768 is 867070299.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (992070763) 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, 433788 + ... + 436068.

Almost surely, 2992070768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 992070768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1497466656).

992070768 is an abundant number, since it is smaller than the sum of its proper divisors (2002862544).

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

992070768 is a wasteful number, since it uses less digits than its factorization.

992070768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2363 (or 2357 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 48.

The square root of 992070768 is about 31497.1549191352. The cubic root of 992070768 is about 997.3499058716.

The spelling of 992070768 in words is "nine hundred ninety-two million, seventy thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 34 39 41 48 51 52 68 78 82 102 104 123 136 156 164 204 208 221 246 272 312 328 408 442 492 533 624 656 663 697 816 884 984 1066 1326 1394 1599 1768 1968 2091 2132 2281 2652 2788 3198 3536 4182 4264 4562 5304 5576 6396 6843 8364 8528 9061 9124 10608 11152 12792 13686 16728 18122 18248 25584 27183 27372 29653 33456 36244 36496 38777 54366 54744 59306 72488 77554 88959 93521 108732 109488 116331 118612 144976 155108 177918 187042 217464 232662 237224 280563 310216 355836 374084 434928 465324 474448 504101 561126 620432 711672 748168 930648 1008202 1122252 1215773 1423344 1496336 1512303 1589857 1861296 2016404 2244504 2431546 3024606 3179714 3647319 4032808 4489008 4769571 4863092 6049212 6359428 7294638 8065616 9539142 9726184 12098424 12718856 14589276 19078284 19452368 20668141 24196848 25437712 29178552 38156568 41336282 58357104 62004423 76313136 82672564 124008846 165345128 248017692 330690256 496035384 992070768