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121792770 = 232511432861
BaseRepresentation
bin1110100001001…
…10100100000010
322111011201021100
413100212210002
5222134332040
620030235230
73006135651
oct720464402
9274151240
10121792770
1162826790
1234955b16
131c303c38
1412265198
15aa5bb30
hex7426902

121792770 has 96 divisors (see below), whose sum is σ = 353605824. Its totient is φ = 28828800.

The previous prime is 121792763. The next prime is 121792771. The reversal of 121792770 is 77297121.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (121792771) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41140 + ... + 44000.

It is an arithmetic number, because the mean of its divisors is an integer number (3683394).

Almost surely, 2121792770 is an apocalyptic number.

121792770 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 121792770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176802912).

121792770 is an abundant number, since it is smaller than the sum of its proper divisors (231813054).

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

121792770 is a wasteful number, since it uses less digits than its factorization.

121792770 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2928 (or 2925 counting only the distinct ones).

The product of its (nonzero) digits is 12348, while the sum is 36.

The square root of 121792770 is about 11035.9761688760. The cubic root of 121792770 is about 495.6865893141.

The spelling of 121792770 in words is "one hundred twenty-one million, seven hundred ninety-two thousand, seven hundred seventy".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 43 45 55 66 86 90 99 110 129 165 198 215 258 330 387 430 473 495 645 774 946 990 1290 1419 1935 2365 2838 2861 3870 4257 4730 5722 7095 8514 8583 14190 14305 17166 21285 25749 28610 31471 42570 42915 51498 62942 85830 94413 123023 128745 157355 188826 246046 257490 283239 314710 369069 472065 566478 615115 738138 944130 1107207 1230230 1353253 1416195 1845345 2214414 2706506 2832390 3690690 4059759 5536035 6766265 8119518 11072070 12179277 13532530 20298795 24358554 40597590 60896385 121792770