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149341760 = 26523103197
BaseRepresentation
bin10001110011011…
…00011001000000
3101102000100101022
420321230121000
5301212414020
622452525012
73462245501
oct1071543100
9342010338
10149341760
1177332747
1242020768
1324c2b409
1415b96ba8
15d19e625
hex8e6c640

149341760 has 112 divisors (see below), whose sum is σ = 376586496. Its totient is φ = 56297472.

The previous prime is 149341747. The next prime is 149341763. The reversal of 149341760 is 67143941.

It is a super-2 number, since 2×1493417602 = 44605922559795200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 149341760.

It is not an unprimeable number, because it can be changed into a prime (149341763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 757982 + ... + 758178.

Almost surely, 2149341760 is an apocalyptic number.

149341760 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 149341760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188293248).

149341760 is an abundant number, since it is smaller than the sum of its proper divisors (227244736).

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

149341760 is a wasteful number, since it uses less digits than its factorization.

149341760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 35.

The square root of 149341760 is about 12220.5466326184. The cubic root of 149341760 is about 530.5509400880.

The spelling of 149341760 in words is "one hundred forty-nine million, three hundred forty-one thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 103 115 160 184 197 206 230 320 368 394 412 460 515 736 788 824 920 985 1030 1472 1576 1648 1840 1970 2060 2369 3152 3296 3680 3940 4120 4531 4738 6304 6592 7360 7880 8240 9062 9476 11845 12608 15760 16480 18124 18952 20291 22655 23690 31520 32960 36248 37904 40582 45310 47380 63040 72496 75808 81164 90620 94760 101455 144992 151616 162328 181240 189520 202910 289984 324656 362480 379040 405820 466693 649312 724960 758080 811640 933386 1298624 1449920 1623280 1866772 2333465 3246560 3733544 4666930 6493120 7467088 9333860 14934176 18667720 29868352 37335440 74670880 149341760