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688145970 = 235235871699
BaseRepresentation
bin101001000001000…
…100011000110010
31202221212102210210
4221001010120302
52402131132340
6152141204550
723024100321
oct5101043062
91687772723
10688145970
11323493286
12172560756
13ac74b985
14675700b8
1540630180
hex29044632

688145970 has 64 divisors (see below), whose sum is σ = 1727308800. Its totient is φ = 175124928.

The previous prime is 688145957. The next prime is 688145999. The reversal of 688145970 is 79541886.

It is a Curzon 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, 404181 + ... + 405879.

It is an arithmetic number, because the mean of its divisors is an integer number (26989200).

Almost surely, 2688145970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 688145970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (863654400).

688145970 is an abundant number, since it is smaller than the sum of its proper divisors (1039162830).

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

688145970 is a wasteful number, since it uses less digits than its factorization.

688145970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2319.

The product of its (nonzero) digits is 483840, while the sum is 48.

The square root of 688145970 is about 26232.5364766734. The cubic root of 688145970 is about 882.8634214364.

The spelling of 688145970 in words is "six hundred eighty-eight million, one hundred forty-five thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 115 138 230 345 587 690 1174 1699 1761 2935 3398 3522 5097 5870 8495 8805 10194 13501 16990 17610 25485 27002 39077 40503 50970 67505 78154 81006 117231 135010 195385 202515 234462 390770 405030 586155 997313 1172310 1994626 2991939 4986565 5983878 9973130 14959695 22938199 29919390 45876398 68814597 114690995 137629194 229381990 344072985 688145970