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149840880 = 24357791129
BaseRepresentation
bin10001110111001…
…10001111110000
3101102221201001020
420323212033300
5301324402010
622511335440
73466424610
oct1073461760
9342851036
10149840880
1177643742
1242221580
1325074657
1415c86a40
15d24c470
hex8ee63f0

149840880 has 160 divisors (see below), whose sum is σ = 538060800. Its totient is φ = 33785856.

The previous prime is 149840879. The next prime is 149840881. The reversal of 149840880 is 88048941.

It is an interprime number because it is at equal distance from previous prime (149840879) and next prime (149840881).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149840881) 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, 132156 + ... + 133284.

It is an arithmetic number, because the mean of its divisors is an integer number (3362880).

Almost surely, 2149840880 is an apocalyptic number.

149840880 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 149840880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269030400).

149840880 is an abundant number, since it is smaller than the sum of its proper divisors (388219920).

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

149840880 is a wasteful number, since it uses less digits than its factorization.

149840880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1231 (or 1225 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 42.

The square root of 149840880 is about 12240.9509434521. The cubic root of 149840880 is about 531.1413400834.

The spelling of 149840880 in words is "one hundred forty-nine million, eight hundred forty thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 79 80 84 105 112 120 140 158 168 210 237 240 280 316 336 395 420 474 553 560 632 790 840 948 1106 1129 1185 1264 1580 1659 1680 1896 2212 2258 2370 2765 3160 3318 3387 3792 4424 4516 4740 5530 5645 6320 6636 6774 7903 8295 8848 9032 9480 11060 11290 13272 13548 15806 16590 16935 18064 18960 22120 22580 23709 26544 27096 31612 33180 33870 39515 44240 45160 47418 54192 63224 66360 67740 79030 89191 90320 94836 118545 126448 132720 135480 158060 178382 189672 237090 267573 270960 316120 356764 379344 445955 474180 535146 624337 632240 713528 891910 948360 1070292 1248674 1337865 1427056 1783820 1873011 1896720 2140584 2497348 2675730 3121685 3567640 3746022 4281168 4994696 5351460 6243370 7135280 7492044 9365055 9989392 10702920 12486740 14984088 18730110 21405840 24973480 29968176 37460220 49946960 74920440 149840880