Search a number
-
+
154053144 = 23337139733
BaseRepresentation
bin10010010111010…
…10101000011000
3101201212201012000
421023222220120
5303414200034
623141521000
73550300350
oct1113525030
9351781160
10154053144
1179a60453
1243713160
1325bbaa0b
1416661b60
15d7d0599
hex92eaa18

154053144 has 128 divisors (see below), whose sum is σ = 493248000. Its totient is φ = 43638912.

The previous prime is 154053131. The next prime is 154053157. The reversal of 154053144 is 441350451.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (154053131) and next prime (154053157).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 209802 + ... + 210534.

It is an arithmetic number, because the mean of its divisors is an integer number (3853500).

Almost surely, 2154053144 is an apocalyptic number.

154053144 is a gapful number since it is divisible by the number (14) 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 154053144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246624000).

154053144 is an abundant number, since it is smaller than the sum of its proper divisors (339194856).

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

154053144 is a wasteful number, since it uses less digits than its factorization.

154053144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 894 (or 884 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 154053144 is about 12411.8146940727. The cubic root of 154053144 is about 536.0724914949.

The spelling of 154053144 in words is "one hundred fifty-four million, fifty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 139 168 189 216 252 278 378 417 504 556 733 756 834 973 1112 1251 1466 1512 1668 1946 2199 2502 2919 2932 3336 3753 3892 4398 5004 5131 5838 5864 6597 7506 7784 8757 8796 10008 10262 11676 13194 15012 15393 17514 17592 19791 20524 23352 26271 26388 30024 30786 35028 39582 41048 46179 52542 52776 61572 70056 79164 92358 101887 105084 123144 138537 158328 184716 203774 210168 277074 305661 369432 407548 554148 611322 713209 815096 916983 1108296 1222644 1426418 1833966 2139627 2445288 2750949 2852836 3667932 4279254 5501898 5705672 6418881 7335864 8558508 11003796 12837762 17117016 19256643 22007592 25675524 38513286 51351048 77026572 154053144