Search a number
-
+
141426960 = 24353119009
BaseRepresentation
bin10000110111000…
…00000100010000
3100212010020022120
420123200010100
5242201130320
622011134240
73335052333
oct1033400420
9325106276
10141426960
1172917194
123b444380
13233b99bc
1414ad661a
15c639440
hex86e0110

141426960 has 80 divisors (see below), whose sum is σ = 452590080. Its totient is φ = 36495360.

The previous prime is 141426947. The next prime is 141426983. The reversal of 141426960 is 69624141.

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2065 + ... + 16944.

It is an arithmetic number, because the mean of its divisors is an integer number (5657376).

Almost surely, 2141426960 is an apocalyptic number.

141426960 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 141426960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226295040).

141426960 is an abundant number, since it is smaller than the sum of its proper divisors (311163120).

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

141426960 is a wasteful number, since it uses less digits than its factorization.

141426960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19056 (or 19050 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 141426960 is about 11892.3067568912. The cubic root of 141426960 is about 521.0076123472.

The spelling of 141426960 in words is "one hundred forty-one million, four hundred twenty-six thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 120 124 155 186 240 248 310 372 465 496 620 744 930 1240 1488 1860 2480 3720 7440 19009 38018 57027 76036 95045 114054 152072 190090 228108 285135 304144 380180 456216 570270 589279 760360 912432 1140540 1178558 1520720 1767837 2281080 2357116 2946395 3535674 4562160 4714232 5892790 7071348 8839185 9428464 11785580 14142696 17678370 23571160 28285392 35356740 47142320 70713480 141426960