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141460992 = 2936379
BaseRepresentation
bin10000110111010…
…00011000000000
3100212011222000000
420123220120000
5242203222432
622012000000
73335253501
oct1033503000
9325158000
10141460992
117293a812
123b460000
13233cc33a
1414b04ba8
15c64457c
hex86e8600

141460992 has 140 divisors (see below), whose sum is σ = 424892820. Its totient is φ = 47029248.

The previous prime is 141460987. The next prime is 141460999. The reversal of 141460992 is 299064141.

It is a happy number.

141460992 is a `hidden beast` number, since 1 + 41 + 4 + 609 + 9 + 2 = 666.

It is a super-2 number, since 2×1414609922 = 40022424515248128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141460999) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 373059 + ... + 373437.

Almost surely, 2141460992 is an apocalyptic number.

141460992 is a gapful number since it is divisible by the number (12) 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 141460992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212446410).

141460992 is an abundant number, since it is smaller than the sum of its proper divisors (283431828).

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

141460992 is an frugal number, since it uses more digits than its factorization.

141460992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 141460992 is about 11893.7375118169. The cubic root of 141460992 is about 521.0493995450.

The spelling of 141460992 in words is "one hundred forty-one million, four hundred sixty thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 379 384 432 486 512 576 648 729 758 768 864 972 1137 1152 1296 1458 1516 1536 1728 1944 2274 2304 2592 2916 3032 3411 3456 3888 4548 4608 5184 5832 6064 6822 6912 7776 9096 10233 10368 11664 12128 13644 13824 15552 18192 20466 20736 23328 24256 27288 30699 31104 36384 40932 41472 46656 48512 54576 61398 62208 72768 81864 92097 93312 97024 109152 122796 124416 145536 163728 184194 186624 194048 218304 245592 276291 291072 327456 368388 373248 436608 491184 552582 582144 654912 736776 873216 982368 1105164 1309824 1473552 1746432 1964736 2210328 2619648 2947104 3929472 4420656 5239296 5894208 7858944 8841312 11788416 15717888 17682624 23576832 35365248 47153664 70730496 141460992