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121826430 = 2345113113
BaseRepresentation
bin1110100001011…
…10110001111110
322111020102110000
413100232301332
5222141421210
620031055130
73006336045
oct720566176
9274212400
10121826430
116284a000
12349714a6
131c31635b
141227355c
15aa66ac0
hex742ec7e

121826430 has 160 divisors (see below), whose sum is σ = 363499488. Its totient is φ = 29272320.

The previous prime is 121826413. The next prime is 121826431. The reversal of 121826430 is 34628121.

121826430 is a `hidden beast` number, since 1 + 2 + 18 + 2 + 643 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 121826394 and 121826403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121826431) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1078054 + ... + 1078166.

Almost surely, 2121826430 is an apocalyptic number.

121826430 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 121826430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181749744).

121826430 is an abundant number, since it is smaller than the sum of its proper divisors (241673058).

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

121826430 is a wasteful number, since it uses less digits than its factorization.

121826430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 121826430 is about 11037.5010758776. The cubic root of 121826430 is about 495.7322495882.

The spelling of 121826430 in words is "one hundred twenty-one million, eight hundred twenty-six thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 81 90 99 110 113 121 135 162 165 198 226 242 270 297 330 339 363 405 495 565 594 605 678 726 810 891 990 1017 1089 1130 1210 1243 1331 1485 1695 1782 1815 2034 2178 2486 2662 2970 3051 3267 3390 3630 3729 3993 4455 5085 5445 6102 6215 6534 6655 7458 7986 8910 9153 9801 10170 10890 11187 11979 12430 13310 13673 15255 16335 18306 18645 19602 19965 22374 23958 27346 30510 32670 33561 35937 37290 39930 41019 45765 49005 55935 59895 67122 68365 71874 82038 91530 98010 100683 107811 111870 119790 123057 136730 150403 167805 179685 201366 205095 215622 246114 300806 335610 359370 369171 410190 451209 503415 539055 615285 738342 752015 902418 1006830 1078110 1107513 1230570 1353627 1504030 1845855 2215026 2256045 2707254 3691710 4060881 4512090 5537565 6768135 8121762 11075130 12182643 13536270 20304405 24365286 40608810 60913215 121826430