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154089216 = 28352477
BaseRepresentation
bin10010010111100…
…11011100000000
3101201221112200000
421023303130000
5303421323331
623142400000
73550510461
oct1113633400
9351845600
10154089216
1179a85566
1243730000
1325c01268
1416670d68
15d7db0e6
hex92f3700

154089216 has 108 divisors (see below), whose sum is σ = 460917912. Its totient is φ = 51342336.

The previous prime is 154089181. The next prime is 154089217. The reversal of 154089216 is 612980451.

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (154089217) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 60970 + ... + 63446.

Almost surely, 2154089216 is an apocalyptic number.

154089216 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 154089216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230458956).

154089216 is an abundant number, since it is smaller than the sum of its proper divisors (306828696).

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

154089216 is an frugal number, since it uses more digits than its factorization.

154089216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2508 (or 2482 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 154089216 is about 12413.2677406072. The cubic root of 154089216 is about 536.1143292169.

The spelling of 154089216 in words is "one hundred fifty-four million, eighty-nine thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 576 648 768 864 972 1152 1296 1728 1944 2304 2477 2592 3456 3888 4954 5184 6912 7431 7776 9908 10368 14862 15552 19816 20736 22293 29724 31104 39632 44586 59448 62208 66879 79264 89172 118896 133758 158528 178344 200637 237792 267516 317056 356688 401274 475584 535032 601911 634112 713376 802548 951168 1070064 1203822 1426752 1605096 1902336 2140128 2407644 2853504 3210192 4280256 4815288 5707008 6420384 8560512 9630576 12840768 17121024 19261152 25681536 38522304 51363072 77044608 154089216