Search a number
-
+
707985000 = 23325415733
BaseRepresentation
bin101010001100101…
…111111001101000
31211100012100211200
4222030233321220
52422221010000
6154130324200
723354526132
oct5214577150
91740170750
10707985000
11333703678
12179129660
13b38a6a48
146a056052
154224d500
hex2a32fe68

707985000 has 120 divisors (see below), whose sum is σ = 2396209530. Its totient is φ = 188784000.

The previous prime is 707984999. The next prime is 707985001. The reversal of 707985000 is 589707.

It is an interprime number because it is at equal distance from previous prime (707984999) and next prime (707985001).

It can be written as a sum of positive squares in 5 ways, for example, as 10074276 + 697910724 = 3174^2 + 26418^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (707985001) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 37134 + ... + 52866.

Almost surely, 2707985000 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 707985000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1198104765).

707985000 is an abundant number, since it is smaller than the sum of its proper divisors (1688224530).

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

707985000 is a wasteful number, since it uses less digits than its factorization.

707985000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15765 (or 15743 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The square root of 707985000 is about 26607.9875225467. The cubic root of 707985000 is about 891.2673943417.

The spelling of 707985000 in words is "seven hundred seven million, nine hundred eighty-five thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 125 150 180 200 225 250 300 360 375 450 500 600 625 750 900 1000 1125 1250 1500 1800 1875 2250 2500 3000 3750 4500 5000 5625 7500 9000 11250 15000 15733 22500 31466 45000 47199 62932 78665 94398 125864 141597 157330 188796 235995 283194 314660 377592 393325 471990 566388 629320 707985 786650 943980 1132776 1179975 1415970 1573300 1887960 1966625 2359950 2831940 3146600 3539925 3933250 4719900 5663880 5899875 7079850 7866500 9439800 9833125 11799750 14159700 15733000 17699625 19666250 23599500 28319400 29499375 35399250 39332500 47199000 58998750 70798500 78665000 88498125 117997500 141597000 176996250 235995000 353992500 707985000