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400007070 = 232541432521
BaseRepresentation
bin10111110101111…
…001111110011110
31000212200110112200
4113311321332132
51304400211240
6103405312330
712625001241
oct2765717636
91025613480
10400007070
11195880261
12b1b656a6
1364b44898
143b1a7258
15251b5930
hex17d79f9e

400007070 has 96 divisors (see below), whose sum is σ = 1090593504. Its totient is φ = 101606400.

The previous prime is 400007021. The next prime is 400007071. The reversal of 400007070 is 70700004.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400007071) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 157410 + ... + 159930.

It is an arithmetic number, because the mean of its divisors is an integer number (11360349).

Almost surely, 2400007070 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400007070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545296752).

400007070 is an abundant number, since it is smaller than the sum of its proper divisors (690586434).

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

400007070 is a wasteful number, since it uses less digits than its factorization.

400007070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2618 (or 2615 counting only the distinct ones).

The product of its (nonzero) digits is 196, while the sum is 18.

The square root of 400007070 is about 20000.1767492190. The cubic root of 400007070 is about 736.8106407196.

Adding to 400007070 its reverse (70700004), we get a palindrome (470707074).

The spelling of 400007070 in words is "four hundred million, seven thousand, seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 41 43 45 82 86 90 123 129 205 215 246 258 369 387 410 430 615 645 738 774 1230 1290 1763 1845 1935 2521 3526 3690 3870 5042 5289 7563 8815 10578 12605 15126 15867 17630 22689 25210 26445 31734 37815 45378 52890 75630 79335 103361 108403 113445 158670 206722 216806 226890 310083 325209 516805 542015 620166 650418 930249 975627 1033610 1084030 1550415 1626045 1860498 1951254 3100830 3252090 4444523 4651245 4878135 8889046 9302490 9756270 13333569 22222615 26667138 40000707 44445230 66667845 80001414 133335690 200003535 400007070