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154299040 = 2557219681
BaseRepresentation
bin10010011001001…
…10101010100000
3101202100012111021
421030212222200
5304000032130
623151055224
73552343300
oct1114465240
9352305437
10154299040
117a109175
1243811514
1325c7590c
14166c7600
15d82d37a
hex9326aa0

154299040 has 72 divisors (see below), whose sum is σ = 424068372. Its totient is φ = 52899840.

The previous prime is 154299023. The next prime is 154299043. The reversal of 154299040 is 40992451.

It can be written as a sum of positive squares in 2 ways, for example, as 144288144 + 10010896 = 12012^2 + 3164^2 .

It is a junction number, because it is equal to n+sod(n) for n = 154298987 and 154299005.

It is not an unprimeable number, because it can be changed into a prime (154299043) 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, 2001 + ... + 17680.

Almost surely, 2154299040 is an apocalyptic number.

154299040 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 154299040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212034186).

154299040 is an abundant number, since it is smaller than the sum of its proper divisors (269769332).

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

154299040 is a wasteful number, since it uses less digits than its factorization.

154299040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19710 (or 19695 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 34.

The square root of 154299040 is about 12421.7164675418. The cubic root of 154299040 is about 536.3575619693.

The spelling of 154299040 in words is "one hundred fifty-four million, two hundred ninety-nine thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 70 80 98 112 140 160 196 224 245 280 392 490 560 784 980 1120 1568 1960 3920 7840 19681 39362 78724 98405 137767 157448 196810 275534 314896 393620 551068 629792 688835 787240 964369 1102136 1377670 1574480 1928738 2204272 2755340 3148960 3857476 4408544 4821845 5510680 7714952 9643690 11021360 15429904 19287380 22042720 30859808 38574760 77149520 154299040