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141889920 = 2735671103
BaseRepresentation
bin10000111010100…
…01000110000000
3100212222202101020
420131101012000
5242310434140
622025105440
73342021144
oct1035210600
9325882336
10141889920
1173102aa7
123b628280
132351c643
1414bb7224
15c6cb6d0
hex8751180

141889920 has 128 divisors (see below), whose sum is σ = 459440640. Its totient is φ = 37238784.

The previous prime is 141889901. The next prime is 141889961. The reversal of 141889920 is 29988141.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

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, 128089 + ... + 129191.

It is an arithmetic number, because the mean of its divisors is an integer number (3589380).

Almost surely, 2141889920 is an apocalyptic number.

141889920 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 141889920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229720320).

141889920 is an abundant number, since it is smaller than the sum of its proper divisors (317550720).

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

141889920 is a wasteful number, since it uses less digits than its factorization.

141889920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1192 (or 1180 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 42.

The square root of 141889920 is about 11911.7555381228. The cubic root of 141889920 is about 521.5754978642.

The spelling of 141889920 in words is "one hundred forty-one million, eight hundred eighty-nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 67 80 96 120 128 134 160 192 201 240 268 320 335 384 402 480 536 640 670 804 960 1005 1072 1103 1340 1608 1920 2010 2144 2206 2680 3216 3309 4020 4288 4412 5360 5515 6432 6618 8040 8576 8824 10720 11030 12864 13236 16080 16545 17648 21440 22060 25728 26472 32160 33090 35296 42880 44120 52944 64320 66180 70592 73901 88240 105888 128640 132360 141184 147802 176480 211776 221703 264720 295604 352960 369505 423552 443406 529440 591208 705920 739010 886812 1058880 1108515 1182416 1478020 1773624 2117760 2217030 2364832 2956040 3547248 4434060 4729664 5912080 7094496 8868120 9459328 11824160 14188992 17736240 23648320 28377984 35472480 47296640 70944960 141889920