Search a number
-
+
149554720 = 2557671993
BaseRepresentation
bin10001110101000…
…00011000100000
3101102102011111201
420322200120200
5301241222340
622501250544
73464123410
oct1072403040
9342364451
10149554720
1177468747
1242103a54
1324ca4323
1415c10640
15d1e279a
hex8ea0620

149554720 has 96 divisors (see below), whose sum is σ = 410030208. Its totient is φ = 50485248.

The previous prime is 149554693. The next prime is 149554721. The reversal of 149554720 is 27455941.

It is a super-2 number, since 2×1495547202 = 44733228548556800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 149554720.

It is not an unprimeable number, because it can be changed into a prime (149554721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74044 + ... + 76036.

It is an arithmetic number, because the mean of its divisors is an integer number (4271148).

Almost surely, 2149554720 is an apocalyptic number.

149554720 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 149554720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205015104).

149554720 is an abundant number, since it is smaller than the sum of its proper divisors (260475488).

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

149554720 is a wasteful number, since it uses less digits than its factorization.

149554720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2082 (or 2074 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 37.

The square root of 149554720 is about 12229.2567231210. The cubic root of 149554720 is about 530.8030072592.

The spelling of 149554720 in words is "one hundred forty-nine million, five hundred fifty-four thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 67 70 80 112 134 140 160 224 268 280 335 469 536 560 670 938 1072 1120 1340 1876 1993 2144 2345 2680 3752 3986 4690 5360 7504 7972 9380 9965 10720 13951 15008 15944 18760 19930 27902 31888 37520 39860 55804 63776 69755 75040 79720 111608 133531 139510 159440 223216 267062 279020 318880 446432 534124 558040 667655 934717 1068248 1116080 1335310 1869434 2136496 2232160 2670620 3738868 4272992 4673585 5341240 7477736 9347170 10682480 14955472 18694340 21364960 29910944 37388680 74777360 149554720