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141453620 = 225711312963
BaseRepresentation
bin10000110111001…
…10100100110100
3100212011120212222
420123212210310
5242203003440
622011501512
73335223140
oct1033464464
9325146788
10141453620
1172935220
123b457898
13233c8b89
1414b02220
15c6422b5
hex86e6934

141453620 has 96 divisors (see below), whose sum is σ = 382427136. Its totient is φ = 42652800.

The previous prime is 141453593. The next prime is 141453659. The reversal of 141453620 is 26354141.

It is a super-2 number, since 2×1414536202 = 40018253222208800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 141453620.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46259 + ... + 49221.

It is an arithmetic number, because the mean of its divisors is an integer number (3983616).

Almost surely, 2141453620 is an apocalyptic number.

141453620 is a gapful number since it is divisible by the number (10) 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 141453620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191213568).

141453620 is an abundant number, since it is smaller than the sum of its proper divisors (240973516).

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

141453620 is a wasteful number, since it uses less digits than its factorization.

141453620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3021 (or 3019 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 141453620 is about 11893.4275967864. The cubic root of 141453620 is about 521.0403481854.

The spelling of 141453620 in words is "one hundred forty-one million, four hundred fifty-three thousand, six hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 31 35 44 55 62 70 77 110 124 140 154 155 217 220 308 310 341 385 434 620 682 770 868 1085 1364 1540 1705 2170 2387 2963 3410 4340 4774 5926 6820 9548 11852 11935 14815 20741 23870 29630 32593 41482 47740 59260 65186 82964 91853 103705 130372 162965 183706 207410 228151 325930 367412 414820 456302 459265 642971 651860 912604 918530 1010383 1140755 1285942 1837060 2020766 2281510 2571884 3214855 4041532 4563020 5051915 6429710 7072681 10103830 12859420 14145362 20207660 28290724 35363405 70726810 141453620