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706568436 = 2232722631523
BaseRepresentation
bin101010000111010…
…110000011110100
31211020112101200100
4222013112003310
52421340142221
6154040114100
723336506200
oct5207260364
91736471610
10706568436
11332926362
12178765930
13b34cc042
1469ba7b00
154206d926
hex2a1d60f4

706568436 has 108 divisors (see below), whose sum is σ = 2086916832. Its totient is φ = 200977056.

The previous prime is 706568417. The next prime is 706568449. The reversal of 706568436 is 634865607.

It is a junction number, because it is equal to n+sod(n) for n = 706568391 and 706568400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 463171 + ... + 464693.

It is an arithmetic number, because the mean of its divisors is an integer number (19323304).

Almost surely, 2706568436 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 706568436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1043458416).

706568436 is an abundant number, since it is smaller than the sum of its proper divisors (1380348396).

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

706568436 is a wasteful number, since it uses less digits than its factorization.

706568436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1810 (or 1798 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 706568436 is about 26581.3550444668. The cubic root of 706568436 is about 890.6725699282.

The spelling of 706568436 in words is "seven hundred six million, five hundred sixty-eight thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 263 294 441 526 588 789 882 1052 1523 1578 1764 1841 2367 3046 3156 3682 4569 4734 5523 6092 7364 9138 9468 10661 11046 12887 13707 16569 18276 21322 22092 25774 27414 31983 33138 38661 42644 51548 54828 63966 66276 74627 77322 95949 115983 127932 149254 154644 191898 223881 231966 298508 383796 400549 447762 463932 671643 801098 895524 1201647 1343286 1602196 2403294 2686572 2803843 3604941 4806588 5607686 7209882 8411529 11215372 14419764 16823058 19626901 25234587 33646116 39253802 50469174 58880703 78507604 100938348 117761406 176642109 235522812 353284218 706568436