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149771860 = 225723193241
BaseRepresentation
bin10001110110101…
…01011001010100
3101102211012100221
420323111121110
5301320144420
622510044124
73466016440
oct1073253124
9342735327
10149771860
11775a68a7
12421a9644
132504c104
1415c69820
15d236caa
hex8ed5654

149771860 has 96 divisors (see below), whose sum is σ = 378588672. Its totient is φ = 48660480.

The previous prime is 149771857. The next prime is 149771879. The reversal of 149771860 is 68177941.

149771860 = T1 + T2 + ... + T964.

149771860 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

149771860 is a nontrivial binomial coefficient, being equal to C(966, 3).

It is a super-2 number, since 2×1497718602 = 44863220095719200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is the 964-th tetrahedral number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 621340 + ... + 621580.

It is an arithmetic number, because the mean of its divisors is an integer number (3943632).

Almost surely, 2149771860 is an apocalyptic number.

149771860 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 149771860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189294336).

149771860 is an abundant number, since it is smaller than the sum of its proper divisors (228816812).

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

149771860 is a wasteful number, since it uses less digits than its factorization.

149771860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 43.

The square root of 149771860 is about 12238.1313933133. The cubic root of 149771860 is about 531.0597757701.

The spelling of 149771860 in words is "one hundred forty-nine million, seven hundred seventy-one thousand, eight hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 70 92 115 140 161 193 230 241 322 386 460 482 644 772 805 964 965 1205 1351 1610 1687 1930 2410 2702 3220 3374 3860 4439 4820 5404 5543 6748 6755 8435 8878 11086 13510 16870 17756 22172 22195 27020 27715 31073 33740 38801 44390 46513 55430 62146 77602 88780 93026 110860 124292 155204 155365 186052 194005 232565 310730 325591 388010 465130 621460 651182 776020 930260 1069799 1302364 1627955 2139598 3255910 4279196 5348995 6511820 7488593 10697990 14977186 21395980 29954372 37442965 74885930 149771860