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468041070 = 235710122067
BaseRepresentation
bin11011111001011…
…011110101101110
31012121200221122110
4123321123311232
51424304303240
6114235424450
714412166140
oct3371336556
91177627573
10468041070
11220219202
121108b5126
1375c755a3
1446236c90
152b153c80
hex1be5bd6e

468041070 has 64 divisors (see below), whose sum is σ = 1296539136. Its totient is φ = 105916800.

The previous prime is 468041027. The next prime is 468041089. The reversal of 468041070 is 70140864.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 10177 + ... + 32243.

It is an arithmetic number, because the mean of its divisors is an integer number (20258424).

Almost surely, 2468041070 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 468041070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648269568).

468041070 is an abundant number, since it is smaller than the sum of its proper divisors (828498066).

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

468041070 is a wasteful number, since it uses less digits than its factorization.

468041070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22185.

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 468041070 is about 21634.2568626704. The cubic root of 468041070 is about 776.4163181733.

It can be divided in two parts, 46804 and 1070, that added together give a palindrome (47874).

The spelling of 468041070 in words is "four hundred sixty-eight million, forty-one thousand, seventy".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 101 105 202 210 303 505 606 707 1010 1414 1515 2121 3030 3535 4242 7070 10605 21210 22067 44134 66201 110335 132402 154469 220670 308938 331005 463407 662010 772345 926814 1544690 2228767 2317035 4457534 4634070 6686301 11143835 13372602 15601369 22287670 31202738 33431505 46804107 66863010 78006845 93608214 156013690 234020535 468041070