Search a number
-
+
770100096 = 27319591789
BaseRepresentation
bin101101111001101…
…100101110000000
31222200002010201210
4231321230232000
53034121200341
6204225530120
725040512533
oct5571545600
91880063653
10770100096
11365779667
12195aa3940
13c371463c
14743c4a1a
154791cc16
hex2de6cb80

770100096 has 128 divisors (see below), whose sum is σ = 2190960000. Its totient is φ = 238934016.

The previous prime is 770100091. The next prime is 770100101. The reversal of 770100096 is 690001077.

770100096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (770100091) and next prime (770100101).

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (770100091) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 429570 + ... + 431358.

It is an arithmetic number, because the mean of its divisors is an integer number (17116875).

Almost surely, 2770100096 is an apocalyptic number.

770100096 is a gapful number since it is divisible by the number (76) 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 770100096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1095480000).

770100096 is an abundant number, since it is smaller than the sum of its proper divisors (1420859904).

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

770100096 is a wasteful number, since it uses less digits than its factorization.

770100096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1884 (or 1872 counting only the distinct ones).

The product of its (nonzero) digits is 2646, while the sum is 30.

The square root of 770100096 is about 27750.6773971375. The cubic root of 770100096 is about 916.6053599697.

The spelling of 770100096 in words is "seven hundred seventy million, one hundred thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 59 64 76 96 114 118 128 152 177 192 228 236 304 354 384 456 472 608 708 912 944 1121 1216 1416 1789 1824 1888 2242 2432 2832 3363 3578 3648 3776 4484 5367 5664 6726 7156 7296 7552 8968 10734 11328 13452 14312 17936 21468 22656 26904 28624 33991 35872 42936 53808 57248 67982 71744 85872 101973 105551 107616 114496 135964 143488 171744 203946 211102 215232 228992 271928 316653 343488 407892 422204 430464 543856 633306 686976 815784 844408 1087712 1266612 1631568 1688816 2005469 2175424 2533224 3263136 3377632 4010938 4350848 5066448 6016407 6526272 6755264 8021876 10132896 12032814 13052544 13510528 16043752 20265792 24065628 32087504 40531584 48131256 64175008 96262512 128350016 192525024 256700032 385050048 770100096