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149199840 = 2533534537
BaseRepresentation
bin10001110010010…
…01101111100000
3101101202010201000
420321021233200
5301143343330
622445512000
73461114646
oct1071115740
9341663630
10149199840
1177246059
1241b72600
1324bab93a
1415b5b196
15d172560
hex8e49be0

149199840 has 96 divisors (see below), whose sum is σ = 522214560. Its totient is φ = 39785472.

The previous prime is 149199811. The next prime is 149199847. The reversal of 149199840 is 48991941.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149199847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12949 + ... + 21588.

It is an arithmetic number, because the mean of its divisors is an integer number (5439735).

Almost surely, 2149199840 is an apocalyptic number.

149199840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

149199840 is an abundant number, since it is smaller than the sum of its proper divisors (373014720).

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

149199840 is a wasteful number, since it uses less digits than its factorization.

149199840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34561 (or 34547 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The square root of 149199840 is about 12214.7386382190. The cubic root of 149199840 is about 530.3828253483.

The spelling of 149199840 in words is "one hundred forty-nine million, one hundred ninety-nine thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 2160 4320 34537 69074 103611 138148 172685 207222 276296 310833 345370 414444 518055 552592 621666 690740 828888 932499 1036110 1105184 1243332 1381480 1554165 1657776 1864998 2072220 2486664 2762960 3108330 3315552 3729996 4144440 4662495 4973328 5525920 6216660 7459992 8288880 9324990 9946656 12433320 14919984 16577760 18649980 24866640 29839968 37299960 49733280 74599920 149199840