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121073624 = 23719253113
BaseRepresentation
bin1110011011101…
…10111111011000
322102211011210022
413031312333120
5221443323444
620003010012
73000052220
oct715667730
9272734708
10121073624
1162385451
1234669908
131c1117c9
1412119080
15a9689ee
hex7376fd8

121073624 has 96 divisors (see below), whose sum is σ = 281452320. Its totient is φ = 47803392.

The previous prime is 121073611. The next prime is 121073663. The reversal of 121073624 is 426370121.

121073624 = T1407 + T1408 + ... + T1519.

It is a junction number, because it is equal to n+sod(n) for n = 121073593 and 121073602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1071392 + ... + 1071504.

It is an arithmetic number, because the mean of its divisors is an integer number (2931795).

Almost surely, 2121073624 is an apocalyptic number.

121073624 is a gapful number since it is divisible by the number (14) 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 121073624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140726160).

121073624 is an abundant number, since it is smaller than the sum of its proper divisors (160378696).

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

121073624 is a wasteful number, since it uses less digits than its factorization.

121073624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 121073624 is about 11003.3460365472. The cubic root of 121073624 is about 494.7090409941.

The spelling of 121073624 in words is "one hundred twenty-one million, seventy-three thousand, six hundred twenty-four".

Divisors: 1 2 4 7 8 14 19 28 38 53 56 76 106 113 133 152 212 226 266 361 371 424 452 532 722 742 791 904 1007 1064 1444 1484 1582 2014 2147 2527 2888 2968 3164 4028 4294 5054 5989 6328 7049 8056 8588 10108 11978 14098 15029 17176 19133 20216 23956 28196 30058 38266 40793 41923 47912 56392 60116 76532 81586 83846 113791 120232 133931 153064 163172 167692 227582 267862 285551 326344 335384 455164 535724 571102 796537 910328 1071448 1142204 1593074 2162029 2284408 3186148 4324058 6372296 8648116 15134203 17296232 30268406 60536812 121073624