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120130208 = 251131101109
BaseRepresentation
bin1110010100100…
…00101010100000
322101001020122222
413022100222200
5221223131313
615530450212
72656042562
oct712205240
9271036588
10120130208
11618a0670
1234293968
131bb71283
1411d51332
15a82e208
hex7290aa0

120130208 has 96 divisors (see below), whose sum is σ = 271434240. Its totient is φ = 51840000.

The previous prime is 120130193. The next prime is 120130229. The reversal of 120130208 is 802031021.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1102058 + ... + 1102166.

It is an arithmetic number, because the mean of its divisors is an integer number (2827440).

Almost surely, 2120130208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120130208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135717120).

120130208 is an abundant number, since it is smaller than the sum of its proper divisors (151304032).

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

120130208 is a wasteful number, since it uses less digits than its factorization.

120130208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 120130208 is about 10960.3926936949. The cubic root of 120130208 is about 493.4207506805.

Adding to 120130208 its reverse (802031021), we get a palindrome (922161229).

The spelling of 120130208 in words is "one hundred twenty million, one hundred thirty thousand, two hundred eight".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 88 101 109 124 176 202 218 248 341 352 404 436 496 682 808 872 992 1111 1199 1364 1616 1744 2222 2398 2728 3131 3232 3379 3488 4444 4796 5456 6262 6758 8888 9592 10912 11009 12524 13516 17776 19184 22018 25048 27032 34441 35552 37169 38368 44036 50096 54064 68882 74338 88072 100192 108128 121099 137764 148676 176144 242198 275528 297352 341279 352288 484396 551056 594704 682558 968792 1102112 1189408 1365116 1937584 2730232 3754069 3875168 5460464 7508138 10920928 15016276 30032552 60065104 120130208