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154427136 = 283192557
BaseRepresentation
bin10010011010001…
…01111100000000
3101202120201012120
421031011330000
5304013132021
623153524240
73553415613
oct1115057400
9352521176
10154427136
117a196436
1243873680
1325cbc006
141671c17a
15d8562c6
hex9345f00

154427136 has 108 divisors (see below), whose sum is σ = 434550312. Its totient is φ = 48678912.

The previous prime is 154427113. The next prime is 154427137. The reversal of 154427136 is 631724451.

154427136 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 154427097 and 154427106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (154427137) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 276970 + ... + 277526.

It is an arithmetic number, because the mean of its divisors is an integer number (4023614).

Almost surely, 2154427136 is an apocalyptic number.

154427136 is a gapful number since it is divisible by the number (16) 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 154427136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217275156).

154427136 is an abundant number, since it is smaller than the sum of its proper divisors (280123176).

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

154427136 is an equidigital number, since it uses as much as digits as its factorization.

154427136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614 (or 581 counting only the distinct ones).

The product of its digits is 20160, while the sum is 33.

The square root of 154427136 is about 12426.8715290696. The cubic root of 154427136 is about 536.5059453821.

It can be divided in two parts, 15442 and 7136, that added together give a triangular number (22578 = T212).

The spelling of 154427136 in words is "one hundred fifty-four million, four hundred twenty-seven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 256 304 361 384 456 557 608 722 768 912 1083 1114 1216 1444 1671 1824 2166 2228 2432 2888 3342 3648 4332 4456 4864 5776 6684 7296 8664 8912 10583 11552 13368 14592 17328 17824 21166 23104 26736 31749 34656 35648 42332 46208 53472 63498 69312 71296 84664 92416 106944 126996 138624 142592 169328 201077 213888 253992 277248 338656 402154 427776 507984 603231 677312 804308 1015968 1206462 1354624 1608616 2031936 2412924 2709248 3217232 4063872 4825848 6434464 8127744 9651696 12868928 19303392 25737856 38606784 51475712 77213568 154427136