Search a number
-
+
84153930 = 2357537561
BaseRepresentation
bin1010000010000…
…01011001001010
312212100110111020
411001001121022
5133020411210
612203413310
72041203510
oct501013112
9185313436
1084153930
1143559103
1224224236
1314586033
14b2684b0
1575c4770
hex504164a

84153930 has 64 divisors (see below), whose sum is σ = 235208448. Its totient is φ = 18869760.

The previous prime is 84153929. The next prime is 84153973. The reversal of 84153930 is 3935148.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 84153891 and 84153900.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7350 + ... + 14910.

It is an arithmetic number, because the mean of its divisors is an integer number (3675132).

Almost surely, 284153930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84153930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117604224).

84153930 is an abundant number, since it is smaller than the sum of its proper divisors (151054518).

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

84153930 is a wasteful number, since it uses less digits than its factorization.

84153930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7631.

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 84153930 is about 9173.5451162569. The cubic root of 84153930 is about 438.2192663749.

The spelling of 84153930 in words is "eighty-four million, one hundred fifty-three thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 53 70 105 106 159 210 265 318 371 530 742 795 1113 1590 1855 2226 3710 5565 7561 11130 15122 22683 37805 45366 52927 75610 105854 113415 158781 226830 264635 317562 400733 529270 793905 801466 1202199 1587810 2003665 2404398 2805131 4007330 5610262 6010995 8415393 12021990 14025655 16830786 28051310 42076965 84153930