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730129972 = 2211213116041
BaseRepresentation
bin101011100001001…
…110011000110100
31212212212110000211
4223201032120310
52443403124342
6200241115204
724044000545
oct5341163064
91785773024
10730129972
11345159500
12184628b04
13b835b590
146cd7c4cc
1544174c17
hex2b84e634

730129972 has 36 divisors (see below), whose sum is σ = 1512491428. Its totient is φ = 306345600.

The previous prime is 730129901. The next prime is 730129979. The reversal of 730129972 is 279921037.

It can be written as a sum of positive squares in 2 ways, for example, as 462938256 + 267191716 = 21516^2 + 16346^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (730129979) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51729 + ... + 64312.

Almost surely, 2730129972 is an apocalyptic number.

It is an amenable number.

730129972 is an abundant number, since it is smaller than the sum of its proper divisors (782361456).

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

730129972 is a wasteful number, since it uses less digits than its factorization.

730129972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116080 (or 116067 counting only the distinct ones).

The product of its (nonzero) digits is 47628, while the sum is 40.

The square root of 730129972 is about 27020.9173049325. The cubic root of 730129972 is about 900.4647690008.

It can be divided in two parts, 7301 and 29972, that added together give a palindrome (37273).

The spelling of 730129972 in words is "seven hundred thirty million, one hundred twenty-nine thousand, nine hundred seventy-two".

Divisors: 1 2 4 11 13 22 26 44 52 121 143 242 286 484 572 1573 3146 6292 116041 232082 464164 1276451 1508533 2552902 3017066 5105804 6034132 14040961 16593863 28081922 33187726 56163844 66375452 182532493 365064986 730129972