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141432120 = 23325794973
BaseRepresentation
bin10000110111000…
…01010100111000
3100212010111101200
420123201110320
5242201311440
622011214200
73335103354
oct1033412470
9325114350
10141432120
1172920055
123b447360
13233bc15b
1414ad8464
15c63ac30
hex86e1538

141432120 has 96 divisors (see below), whose sum is σ = 465566400. Its totient is φ = 37230336.

The previous prime is 141432119. The next prime is 141432127. The reversal of 141432120 is 21234141.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 141432093 and 141432102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141432127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25954 + ... + 30926.

It is an arithmetic number, because the mean of its divisors is an integer number (4849650).

Almost surely, 2141432120 is an apocalyptic number.

141432120 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 141432120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232783200).

141432120 is an abundant number, since it is smaller than the sum of its proper divisors (324134280).

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

141432120 is a wasteful number, since it uses less digits than its factorization.

141432120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5069 (or 5062 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 141432120 is about 11892.5237018894. The cubic root of 141432120 is about 521.0139486370.

Adding to 141432120 its reverse (21234141), we get a palindrome (162666261).

The spelling of 141432120 in words is "one hundred forty-one million, four hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 79 90 120 158 180 237 316 360 395 474 632 711 790 948 1185 1422 1580 1896 2370 2844 3160 3555 4740 4973 5688 7110 9480 9946 14220 14919 19892 24865 28440 29838 39784 44757 49730 59676 74595 89514 99460 119352 149190 179028 198920 223785 298380 358056 392867 447570 596760 785734 895140 1178601 1571468 1790280 1964335 2357202 3142936 3535803 3928670 4714404 5893005 7071606 7857340 9428808 11786010 14143212 15714680 17679015 23572020 28286424 35358030 47144040 70716060 141432120