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149449040 = 245131779107
BaseRepresentation
bin10001110100001…
…10100101010000
3101102012210112122
420322012211100
5301224332130
622455113412
73463203326
oct1072064520
9342183478
10149449040
11773a6304
1242072868
1324c681b0
1415bc3d16
15d1c12e5
hex8e86950

149449040 has 160 divisors (see below), whose sum is σ = 404974080. Its totient is φ = 50798592.

The previous prime is 149449039. The next prime is 149449043. The reversal of 149449040 is 40944941.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149449043) 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 31 ways as a sum of consecutive naturals, for example, 1396667 + ... + 1396773.

It is an arithmetic number, because the mean of its divisors is an integer number (2531088).

Almost surely, 2149449040 is an apocalyptic number.

149449040 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 149449040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202487040).

149449040 is an abundant number, since it is smaller than the sum of its proper divisors (255525040).

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

149449040 is a wasteful number, since it uses less digits than its factorization.

149449040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 149449040 is about 12224.9351736523. The cubic root of 149449040 is about 530.6779505133.

The spelling of 149449040 in words is "one hundred forty-nine million, four hundred forty-nine thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 17 20 26 34 40 52 65 68 79 80 85 104 107 130 136 158 170 208 214 221 260 272 316 340 395 428 442 520 535 632 680 790 856 884 1027 1040 1070 1105 1264 1343 1360 1391 1580 1712 1768 1819 2054 2140 2210 2686 2782 3160 3536 3638 4108 4280 4420 5135 5372 5564 6320 6715 6955 7276 8216 8453 8560 8840 9095 10270 10744 11128 13430 13910 14552 16432 16906 17459 17680 18190 20540 21488 22256 23647 26860 27820 29104 33812 34918 36380 41080 42265 47294 53720 55640 67624 69836 72760 82160 84530 87295 94588 107440 109889 111280 118235 135248 139672 143701 145520 169060 174590 189176 219778 236470 279344 287402 338120 349180 378352 439556 472940 549445 574804 676240 698360 718505 879112 945880 1098890 1149608 1396720 1437010 1758224 1868113 1891760 2197780 2299216 2874020 3736226 4395560 5748040 7472452 8791120 9340565 11496080 14944904 18681130 29889808 37362260 74724520 149449040