[go: up one dir, main page]

Search a number
-
+
141096960 = 2113251531
BaseRepresentation
bin10000110100011…
…11100000000000
3100211111110122100
420122033200000
5242110100320
622000110400
73332206254
oct1032174000
9324443570
10141096960
1172711264
123b305400
1323302734
1414a4c264
15c5c1790
hex868f800

141096960 has 144 divisors (see below), whose sum is σ = 489336120. Its totient is φ = 37601280.

The previous prime is 141096959. The next prime is 141096997. The reversal of 141096960 is 69690141.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 91395 + ... + 92925.

Almost surely, 2141096960 is an apocalyptic number.

141096960 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 141096960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244668060).

141096960 is an abundant number, since it is smaller than the sum of its proper divisors (348239160).

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

141096960 is a wasteful number, since it uses less digits than its factorization.

141096960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1564 (or 1541 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 141096960 is about 11878.4241379065. The cubic root of 141096960 is about 520.6020639932.

The spelling of 141096960 in words is "one hundred forty-one million, ninety-six thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1024 1152 1280 1440 1531 1536 1920 2048 2304 2560 2880 3062 3072 3840 4593 4608 5120 5760 6124 6144 7655 7680 9186 9216 10240 11520 12248 13779 15310 15360 18372 18432 22965 23040 24496 27558 30620 30720 36744 45930 46080 48992 55116 61240 68895 73488 91860 92160 97984 110232 122480 137790 146976 183720 195968 220464 244960 275580 293952 367440 391936 440928 489920 551160 587904 734880 783872 881856 979840 1102320 1175808 1469760 1567744 1763712 1959680 2204640 2351616 2939520 3135488 3527424 3919360 4409280 4703232 5879040 7054848 7838720 8818560 9406464 11758080 14109696 15677440 17637120 23516160 28219392 35274240 47032320 70548480 141096960