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150641040 = 243511431327
BaseRepresentation
bin10001111101010…
…01100110010000
3101111110100122210
420332221212100
5302031003130
622540432120
73506266464
oct1076514620
9344410583
10150641040
117803a930
1242548640
1325294914
14160144a4
15d3595b0
hex8fa9990

150641040 has 160 divisors (see below), whose sum is σ = 521680896. Its totient is φ = 35642880.

The previous prime is 150641033. The next prime is 150641069. The reversal of 150641040 is 40146051.

It is a junction number, because it is equal to n+sod(n) for n = 150640998 and 150641016.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 112857 + ... + 114183.

Almost surely, 2150641040 is an apocalyptic number.

150641040 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 150641040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260840448).

150641040 is an abundant number, since it is smaller than the sum of its proper divisors (371039856).

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

150641040 is a wasteful number, since it uses less digits than its factorization.

150641040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1397 (or 1391 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 150641040 is about 12273.5911615142. The cubic root of 150641040 is about 532.0851051969.

Adding to 150641040 its reverse (40146051), we get a palindrome (190787091).

The spelling of 150641040 in words is "one hundred fifty million, six hundred forty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 43 44 48 55 60 66 80 86 88 110 120 129 132 165 172 176 215 220 240 258 264 330 344 430 440 473 516 528 645 660 688 860 880 946 1032 1290 1320 1327 1419 1720 1892 2064 2365 2580 2640 2654 2838 3440 3784 3981 4730 5160 5308 5676 6635 7095 7568 7962 9460 10320 10616 11352 13270 14190 14597 15924 18920 19905 21232 22704 26540 28380 29194 31848 37840 39810 43791 53080 56760 57061 58388 63696 72985 79620 87582 106160 113520 114122 116776 145970 159240 171183 175164 218955 228244 233552 285305 291940 318480 342366 350328 437910 456488 570610 583880 627671 684732 700656 855915 875820 912976 1141220 1167760 1255342 1369464 1711830 1751640 1883013 2282440 2510684 2738928 3138355 3423660 3503280 3766026 4564880 5021368 6276710 6847320 7532052 9415065 10042736 12553420 13694640 15064104 18830130 25106840 30128208 37660260 50213680 75320520 150641040