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149167040 = 26511311367
BaseRepresentation
bin10001110010000…
…01101111000000
3101101200110201012
420321001233000
5301141321130
622445100052
73460620221
oct1071015700
9341613635
10149167040
1177223450
1241b57628
1324b99a29
1415b4d248
15d167995
hex8e41bc0

149167040 has 112 divisors (see below), whose sum is σ = 400287744. Its totient is φ = 52454400.

The previous prime is 149167033. The next prime is 149167063. The reversal of 149167040 is 40761941.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 149166988 and 149167006.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 108437 + ... + 109803.

Almost surely, 2149167040 is an apocalyptic number.

149167040 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 149167040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200143872).

149167040 is an abundant number, since it is smaller than the sum of its proper divisors (251120704).

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

149167040 is a wasteful number, since it uses less digits than its factorization.

149167040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1426 (or 1416 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 149167040 is about 12213.3959241482. The cubic root of 149167040 is about 530.3439561564.

The spelling of 149167040 in words is "one hundred forty-nine million, one hundred sixty-seven thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 31 32 40 44 55 62 64 80 88 110 124 155 160 176 220 248 310 320 341 352 440 496 620 682 704 880 992 1240 1364 1367 1705 1760 1984 2480 2728 2734 3410 3520 4960 5456 5468 6820 6835 9920 10912 10936 13640 13670 15037 21824 21872 27280 27340 30074 42377 43744 54560 54680 60148 75185 84754 87488 109120 109360 120296 150370 169508 211885 218720 240592 300740 339016 423770 437440 466147 481184 601480 678032 847540 932294 962368 1202960 1356064 1695080 1864588 2330735 2405920 2712128 3390160 3729176 4661470 4811840 6780320 7458352 9322940 13560640 14916704 18645880 29833408 37291760 74583520 149167040