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154068096 = 2737134409
BaseRepresentation
bin10010010111011…
…10010010000000
3101201220110200210
421023232102000
5303420134341
623142114120
73550362060
oct1113562200
9351813623
10154068096
1179a70706
124371b940
1325bc4770
14166673a0
15d7d4c16
hex92ee480

154068096 has 128 divisors (see below), whose sum is σ = 503798400. Its totient is φ = 40624128.

The previous prime is 154068077. The next prime is 154068113. The reversal of 154068096 is 690860451.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×1540680963 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 32740 + ... + 37148.

It is an arithmetic number, because the mean of its divisors is an integer number (3935925).

Almost surely, 2154068096 is an apocalyptic number.

154068096 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 154068096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251899200).

154068096 is an abundant number, since it is smaller than the sum of its proper divisors (349730304).

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

154068096 is a wasteful number, since it uses less digits than its factorization.

154068096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4446 (or 4434 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 154068096 is about 12412.4170087860. The cubic root of 154068096 is about 536.0898342040.

The spelling of 154068096 in words is "one hundred fifty-four million, sixty-eight thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 128 156 168 182 192 208 224 273 312 336 364 384 416 448 546 624 672 728 832 896 1092 1248 1344 1456 1664 2184 2496 2688 2912 4368 4409 4992 5824 8736 8818 11648 13227 17472 17636 26454 30863 34944 35272 52908 57317 61726 70544 92589 105816 114634 123452 141088 171951 185178 211632 229268 246904 282176 343902 370356 401219 423264 458536 493808 564352 687804 740712 802438 846528 917072 987616 1203657 1375608 1481424 1604876 1693056 1834144 1975232 2407314 2751216 2962848 3209752 3668288 3950464 4814628 5502432 5925696 6419504 7336576 9629256 11004864 11851392 12839008 19258512 22009728 25678016 38517024 51356032 77034048 154068096