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141978480 = 24357212073
BaseRepresentation
bin10000111011001…
…10101101110000
3100220011020212020
420131212231300
5242321302410
622031031440
73342540300
oct1035465560
9326136766
10141978480
1173163596
123b66b580
1323550a47
1414bdb600
15c6e7a70
hex8766b70

141978480 has 120 divisors (see below), whose sum is σ = 512034192. Its totient is φ = 32449536.

The previous prime is 141978451. The next prime is 141978497. The reversal of 141978480 is 84879141.

141978480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×1419784802 = 40315777566220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5724 + ... + 17796.

Almost surely, 2141978480 is an apocalyptic number.

141978480 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 141978480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256017096).

141978480 is an abundant number, since it is smaller than the sum of its proper divisors (370055712).

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

141978480 is a wasteful number, since it uses less digits than its factorization.

141978480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12103 (or 12090 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 42.

The square root of 141978480 is about 11915.4722944582. The cubic root of 141978480 is about 521.6839883510.

The spelling of 141978480 in words is "one hundred forty-one million, nine hundred seventy-eight thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 49 56 60 70 80 84 98 105 112 120 140 147 168 196 210 240 245 280 294 336 392 420 490 560 588 735 784 840 980 1176 1470 1680 1960 2352 2940 3920 5880 11760 12073 24146 36219 48292 60365 72438 84511 96584 120730 144876 169022 181095 193168 241460 253533 289752 338044 362190 422555 482920 507066 579504 591577 676088 724380 845110 965840 1014132 1183154 1267665 1352176 1448760 1690220 1774731 2028264 2366308 2535330 2897520 2957885 3380440 3549462 4056528 4732616 5070660 5915770 6760880 7098924 8873655 9465232 10141320 11831540 14197848 17747310 20282640 23663080 28395696 35494620 47326160 70989240 141978480