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1300072470 = 2352310717609
BaseRepresentation
bin100110101111101…
…1000100000010110
310100121022112011020
41031133120200112
510130304304340
6333001022010
744134301514
oct11537304026
93317275136
101300072470
11607947764
12303484906
13179461c68
14c493d4b4
15792069d0
hex4d7d8816

1300072470 has 64 divisors (see below), whose sum is σ = 3286448640. Its totient is φ = 328494848.

The previous prime is 1300072469. The next prime is 1300072471. The reversal of 1300072470 is 742700031.

It is an interprime number because it is at equal distance from previous prime (1300072469) and next prime (1300072471).

It is a self number, because there is not a number n which added to its sum of digits gives 1300072470.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1300072471) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65026 + ... + 82634.

It is an arithmetic number, because the mean of its divisors is an integer number (51350760).

Almost surely, 21300072470 is an apocalyptic number.

1300072470 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1300072470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1643224320).

1300072470 is an abundant number, since it is smaller than the sum of its proper divisors (1986376170).

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

1300072470 is a wasteful number, since it uses less digits than its factorization.

1300072470 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17749.

The product of its (nonzero) digits is 1176, while the sum is 24.

The square root of 1300072470 is about 36056.5177187149. The cubic root of 1300072470 is about 1091.4131630028.

The spelling of 1300072470 in words is "one billion, three hundred million, seventy-two thousand, four hundred seventy".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 107 115 138 214 230 321 345 535 642 690 1070 1605 2461 3210 4922 7383 12305 14766 17609 24610 35218 36915 52827 73830 88045 105654 176090 264135 405007 528270 810014 1215021 1884163 2025035 2430042 3768326 4050070 5652489 6075105 9420815 11304978 12150210 18841630 28262445 43335749 56524890 86671498 130007247 216678745 260014494 433357490 650036235 1300072470