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141170380 = 225131719412
BaseRepresentation
bin10000110101000…
…01011011001100
3100211122012100121
420122201123030
5242114423010
622001434324
73332633311
oct1032413314
9324565317
10141170380
117276143a
123b33b9a4
1323329c90
1414a6ad08
15c5d83da
hex86a16cc

141170380 has 144 divisors (see below), whose sum is σ = 364724640. Its totient is φ = 45342720.

The previous prime is 141170371. The next prime is 141170383. The reversal of 141170380 is 83071141.

It is not an unprimeable number, because it can be changed into a prime (141170383) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3443160 + ... + 3443200.

It is an arithmetic number, because the mean of its divisors is an integer number (2532810).

Almost surely, 2141170380 is an apocalyptic number.

141170380 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 141170380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182362320).

141170380 is an abundant number, since it is smaller than the sum of its proper divisors (223554260).

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

141170380 is a wasteful number, since it uses less digits than its factorization.

141170380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 25.

The square root of 141170380 is about 11881.5142132642. The cubic root of 141170380 is about 520.6923470055.

The spelling of 141170380 in words is "one hundred forty-one million, one hundred seventy thousand, three hundred eighty".

Divisors: 1 2 4 5 10 13 17 19 20 26 34 38 41 52 65 68 76 82 85 95 130 164 170 190 205 221 247 260 323 340 380 410 442 494 533 646 697 779 820 884 988 1066 1105 1235 1292 1394 1558 1615 1681 2132 2210 2470 2665 2788 3116 3230 3362 3485 3895 4199 4420 4940 5330 6460 6724 6970 7790 8398 8405 9061 10127 10660 13243 13940 15580 16796 16810 18122 20254 20995 21853 26486 28577 31939 33620 36244 40508 41990 43706 45305 50635 52972 57154 63878 66215 83980 87412 90610 101270 109265 114308 127756 132430 142885 159695 172159 181220 202540 218530 264860 285770 319390 344318 371501 415207 437060 542963 571540 638780 688636 743002 830414 860795 1085926 1486004 1660828 1721590 1857505 2076035 2171852 2714815 3443180 3715010 4152070 5429630 7058519 7430020 8304140 10859260 14117038 28234076 35292595 70585190 141170380