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149361360 = 24354143353
BaseRepresentation
bin10001110011100…
…01001011010000
3101102001100021020
420321301023100
5301214030420
622453155440
73462356601
oct1071611320
9342040236
10149361360
1177346445
124202bb80
1324c37305
1415b9dda8
15d1a5340
hex8e712d0

149361360 has 160 divisors (see below), whose sum is σ = 486718848. Its totient is φ = 37847040.

The previous prime is 149361307. The next prime is 149361361. The reversal of 149361360 is 63163941.

It is a super-2 number, since 2×1493613602 = 44617631722099200, which contains 22 as substring.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149361361) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 422944 + ... + 423296.

Almost surely, 2149361360 is an apocalyptic number.

149361360 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 149361360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243359424).

149361360 is an abundant number, since it is smaller than the sum of its proper divisors (337357488).

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

149361360 is a wasteful number, since it uses less digits than its factorization.

149361360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 149361360 is about 12221.3485344294. The cubic root of 149361360 is about 530.5741493666.

The spelling of 149361360 in words is "one hundred forty-nine million, three hundred sixty-one thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 41 43 48 60 80 82 86 120 123 129 164 172 205 215 240 246 258 328 344 353 410 430 492 516 615 645 656 688 706 820 860 984 1032 1059 1230 1290 1412 1640 1720 1763 1765 1968 2064 2118 2460 2580 2824 3280 3440 3526 3530 4236 4920 5160 5289 5295 5648 7052 7060 8472 8815 9840 10320 10578 10590 14104 14120 14473 15179 16944 17630 21156 21180 26445 28208 28240 28946 30358 35260 42312 42360 43419 45537 52890 57892 60716 70520 72365 75895 84624 84720 86838 91074 105780 115784 121432 141040 144730 151790 173676 182148 211560 217095 227685 231568 242864 289460 303580 347352 364296 423120 434190 455370 578920 607160 622339 694704 728592 868380 910740 1157840 1214320 1244678 1736760 1821480 1867017 2489356 3111695 3473520 3642960 3734034 4978712 6223390 7468068 9335085 9957424 12446780 14936136 18670170 24893560 29872272 37340340 49787120 74680680 149361360