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154164480 = 2835192113
BaseRepresentation
bin10010011000001…
…01110100000000
3101202002100220120
421030011310000
5303431230410
623144140240
73551243061
oct1114056400
9352070816
10154164480
117a027068
1243767680
1325c295b2
1416690568
15d803570
hex9305d00

154164480 has 144 divisors (see below), whose sum is σ = 518521920. Its totient is φ = 38928384.

The previous prime is 154164467. The next prime is 154164487. The reversal of 154164480 is 84461451.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (154164487) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71904 + ... + 74016.

Almost surely, 2154164480 is an apocalyptic number.

154164480 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 154164480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259260960).

154164480 is an abundant number, since it is smaller than the sum of its proper divisors (364357440).

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

154164480 is a wasteful number, since it uses less digits than its factorization.

154164480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2156 (or 2142 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 154164480 is about 12416.2989654728. The cubic root of 154164480 is about 536.2016023393.

The spelling of 154164480 in words is "one hundred fifty-four million, one hundred sixty-four thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 64 76 80 95 96 114 120 128 152 160 190 192 228 240 256 285 304 320 380 384 456 480 570 608 640 760 768 912 960 1140 1216 1280 1520 1824 1920 2113 2280 2432 3040 3648 3840 4226 4560 4864 6080 6339 7296 8452 9120 10565 12160 12678 14592 16904 18240 21130 24320 25356 31695 33808 36480 40147 42260 50712 63390 67616 72960 80294 84520 101424 120441 126780 135232 160588 169040 200735 202848 240882 253560 270464 321176 338080 401470 405696 481764 507120 540928 602205 642352 676160 802940 811392 963528 1014240 1204410 1284704 1352320 1605880 1622784 1927056 2028480 2408820 2569408 2704640 3211760 3854112 4056960 4817640 5138816 6423520 7708224 8113920 9635280 10277632 12847040 15416448 19270560 25694080 30832896 38541120 51388160 77082240 154164480