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121620408 = 233713233239
BaseRepresentation
bin1110011111111…
…00011110111000
322110211221211120
413033330132320
5222113323113
620022425240
73004520310
oct717743670
9273757746
10121620408
1162719238
1234892220
131c273650
141221c440
15aa25a23
hex73fc7b8

121620408 has 128 divisors (see below), whose sum is σ = 377395200. Its totient is φ = 31804416.

The previous prime is 121620379. The next prime is 121620419. The reversal of 121620408 is 804026121.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 508753 + ... + 508991.

It is an arithmetic number, because the mean of its divisors is an integer number (2948400).

Almost surely, 2121620408 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 121620408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188697600).

121620408 is an abundant number, since it is smaller than the sum of its proper divisors (255774792).

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

121620408 is a wasteful number, since it uses less digits than its factorization.

121620408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 121620408 is about 11028.1643078075. The cubic root of 121620408 is about 495.4526458500.

Adding to 121620408 its reverse (804026121), we get a palindrome (925646529).

The spelling of 121620408 in words is "one hundred twenty-one million, six hundred twenty thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 182 233 239 273 312 364 466 478 546 699 717 728 932 956 1092 1398 1434 1631 1673 1864 1912 2184 2796 2868 3029 3107 3262 3346 4893 5019 5592 5736 6058 6214 6524 6692 9087 9321 9786 10038 12116 12428 13048 13384 18174 18642 19572 20076 21203 21749 24232 24856 36348 37284 39144 40152 42406 43498 55687 63609 65247 72696 74568 84812 86996 111374 127218 130494 167061 169624 173992 222748 254436 260988 334122 389809 445496 508872 521976 668244 723931 779618 1169427 1336488 1447862 1559236 2171793 2338854 2895724 3118472 4343586 4677708 5067517 5791448 8687172 9355416 10135034 15202551 17374344 20270068 30405102 40540136 60810204 121620408