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149062680 = 23345133539
BaseRepresentation
bin10001110001010…
…00010000011000
3101101111011120000
420320220100120
5301130001210
622442533000
73460004034
oct1070502030
9341434500
10149062680
1177161aa8
1241b07160
1324b61390
1415b231c4
15d146ac0
hex8e28418

149062680 has 160 divisors (see below), whose sum is σ = 539708400. Its totient is φ = 36681984.

The previous prime is 149062649. The next prime is 149062687. The reversal of 149062680 is 86260941.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149062687) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 40351 + ... + 43889.

Almost surely, 2149062680 is an apocalyptic number.

149062680 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 149062680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269854200).

149062680 is an abundant number, since it is smaller than the sum of its proper divisors (390645720).

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

149062680 is a wasteful number, since it uses less digits than its factorization.

149062680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3575 (or 3562 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 149062680 is about 12209.1228186140. The cubic root of 149062680 is about 530.2202478460.

The spelling of 149062680 in words is "one hundred forty-nine million, sixty-two thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 27 30 36 39 40 45 52 54 60 65 72 78 81 90 104 108 117 120 130 135 156 162 180 195 216 234 260 270 312 324 351 360 390 405 468 520 540 585 648 702 780 810 936 1053 1080 1170 1404 1560 1620 1755 2106 2340 2808 3240 3510 3539 4212 4680 5265 7020 7078 8424 10530 10617 14040 14156 17695 21060 21234 28312 31851 35390 42120 42468 46007 53085 63702 70780 84936 92014 95553 106170 127404 138021 141560 159255 184028 191106 212340 230035 254808 276042 286659 318510 368056 382212 414063 424680 460070 477765 552084 573318 637020 690105 764424 828126 920140 955530 1104168 1146636 1242189 1274040 1380210 1433295 1656252 1840280 1911060 2070315 2293272 2484378 2760420 2866590 3312504 3726567 3822120 4140630 4968756 5520840 5733180 6210945 7453134 8281260 9937512 11466360 12421890 14906268 16562520 18632835 24843780 29812536 37265670 49687560 74531340 149062680