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149402640 = 24353143467
BaseRepresentation
bin10001110011110…
…11010000010000
3101102010102220010
420321323100100
5301221341030
622454114520
73462621132
oct1071732020
9342112803
10149402640
1177374462
124204ba40
1324c5003a
1415bb1052
15d1b26b0
hex8e7b410

149402640 has 160 divisors (see below), whose sum is σ = 490254336. Its totient is φ = 37578240.

The previous prime is 149402639. The next prime is 149402663. The reversal of 149402640 is 46204941.

It is a super-2 number, since 2×1494026402 = 44642297677939200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 149402598 and 149402607.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 319687 + ... + 320153.

Almost surely, 2149402640 is an apocalyptic number.

149402640 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 149402640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245127168).

149402640 is an abundant number, since it is smaller than the sum of its proper divisors (340851696).

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

149402640 is a wasteful number, since it uses less digits than its factorization.

149402640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 557 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 149402640 is about 12223.0372657535. The cubic root of 149402640 is about 530.6230243086.

The spelling of 149402640 in words is "one hundred forty-nine million, four hundred two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 43 48 60 62 80 86 93 120 124 129 155 172 186 215 240 248 258 310 344 372 430 465 467 496 516 620 645 688 744 860 930 934 1032 1240 1290 1333 1401 1488 1720 1860 1868 2064 2335 2480 2580 2666 2802 3440 3720 3736 3999 4670 5160 5332 5604 6665 7005 7440 7472 7998 9340 10320 10664 11208 13330 14010 14477 15996 18680 19995 20081 21328 22416 26660 28020 28954 31992 37360 39990 40162 43431 53320 56040 57908 60243 63984 72385 79980 80324 86862 100405 106640 112080 115816 120486 144770 159960 160648 173724 200810 217155 231632 240972 289540 301215 319920 321296 347448 401620 434310 481944 579080 602430 622511 694896 803240 868620 963888 1158160 1204860 1245022 1606480 1737240 1867533 2409720 2490044 3112555 3474480 3735066 4819440 4980088 6225110 7470132 9337665 9960176 12450220 14940264 18675330 24900440 29880528 37350660 49800880 74701320 149402640