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701620040 = 235114793329
BaseRepresentation
bin101001110100011…
…101111101001000
31210220012222202102
4221310131331020
52414103320130
6153342052532
723246446322
oct5164357510
91726188672
10701620040
11330056580
12176b7a148
13b24888b4
146927a612
15418e2645
hex29d1df48

701620040 has 64 divisors (see below), whose sum is σ = 1726272000. Its totient is φ = 254525440.

The previous prime is 701620027. The next prime is 701620061. The reversal of 701620040 is 40026107.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 701619994 and 701620021.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 209096 + ... + 212424.

It is an arithmetic number, because the mean of its divisors is an integer number (26973000).

Almost surely, 2701620040 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 701620040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (863136000).

701620040 is an abundant number, since it is smaller than the sum of its proper divisors (1024651960).

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

701620040 is a wasteful number, since it uses less digits than its factorization.

701620040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3830 (or 3826 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 701620040 is about 26488.1112954472. Note that the first 3 decimals coincide. The cubic root of 701620040 is about 888.5884454295.

Adding to 701620040 its reverse (40026107), we get a palindrome (741646147).

The spelling of 701620040 in words is "seven hundred one million, six hundred twenty thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 479 958 1916 2395 3329 3832 4790 5269 6658 9580 10538 13316 16645 19160 21076 26345 26632 33290 36619 42152 52690 66580 73238 105380 133160 146476 183095 210760 292952 366190 732380 1464760 1594591 3189182 6378364 7972955 12756728 15945910 17540501 31891820 35081002 63783640 70162004 87702505 140324008 175405010 350810020 701620040