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149631020 = 225711473
BaseRepresentation
bin10001110101100…
…11000000101100
3101102120001011122
420322303000230
5301301143040
622503040112
73464562020
oct1072630054
9342501148
10149631020
1177510000
1242140038
1324cccc86
1415c30380
15d20a1b5
hex8eb302c

149631020 has 120 divisors (see below), whose sum is σ = 400434720. Its totient is φ = 45999360.

The previous prime is 149630959. The next prime is 149631049. The reversal of 149631020 is 20136941.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 11.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2049704 + ... + 2049776.

It is an arithmetic number, because the mean of its divisors is an integer number (3336956).

Almost surely, 2149631020 is an apocalyptic number.

149631020 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 149631020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200217360).

149631020 is an abundant number, since it is smaller than the sum of its proper divisors (250803700).

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

149631020 is an equidigital number, since it uses as much as digits as its factorization.

149631020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 149631020 is about 12232.3758935049. The cubic root of 149631020 is about 530.8932604765.

Adding to 149631020 its reverse (20136941), we get a palindrome (169767961).

The spelling of 149631020 in words is "one hundred forty-nine million, six hundred thirty-one thousand, twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 73 77 110 121 140 146 154 220 242 292 308 365 385 484 511 605 730 770 803 847 1022 1210 1331 1460 1540 1606 1694 2044 2420 2555 2662 3212 3388 4015 4235 5110 5324 5621 6655 8030 8470 8833 9317 10220 11242 13310 14641 16060 16940 17666 18634 22484 26620 28105 29282 35332 37268 44165 46585 56210 58564 61831 73205 88330 93170 97163 102487 112420 123662 146410 176660 186340 194326 204974 247324 292820 309155 388652 409948 485815 512435 618310 680141 971630 1024870 1068793 1236620 1360282 1943260 2049740 2137586 2720564 3400705 4275172 5343965 6801410 7481551 10687930 13602820 14963102 21375860 29926204 37407755 74815510 149631020