Search a number
-
+
149274240 = 273577747
BaseRepresentation
bin10001110010110…
…11111010000000
3101101212220202120
420321123322000
5301203233430
622451244240
73461544603
oct1071337200
9341786676
10149274240
1177296a45
1241ba9680
1324c0676b
1415b7a33a
15d189610
hex8e5be80

149274240 has 64 divisors (see below), whose sum is σ = 475817760. Its totient is φ = 39805952.

The previous prime is 149274233. The next prime is 149274247. The reversal of 149274240 is 42472941.

It is an interprime number because it is at equal distance from previous prime (149274233) and next prime (149274247).

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (149274247) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 36954 + ... + 40793.

Almost surely, 2149274240 is an apocalyptic number.

149274240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

149274240 is an abundant number, since it is smaller than the sum of its proper divisors (326543520).

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

149274240 is an equidigital number, since it uses as much as digits as its factorization.

149274240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77769 (or 77757 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 149274240 is about 12217.7837597496. The cubic root of 149274240 is about 530.4709709409.

The spelling of 149274240 in words is "one hundred forty-nine million, two hundred seventy-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 77747 155494 233241 310988 388735 466482 621976 777470 932964 1166205 1243952 1554940 1865928 2332410 2487904 3109880 3731856 4664820 4975808 6219760 7463712 9329640 9951616 12439520 14927424 18659280 24879040 29854848 37318560 49758080 74637120 149274240