Search a number
-
+
1373925072 = 243139722699
BaseRepresentation
bin101000111100100…
…0110111011010000
310112202021121212210
41101321012323100
510303211100242
6344155552120
746022112312
oct12171067320
93482247783
101373925072
116455aa273
1232415b640
1318b84c220
14d06857b2
1580943d9c
hex51e46ed0

1373925072 has 80 divisors (see below), whose sum is σ = 3861905600. Its totient is φ = 418369536.

The previous prime is 1373925029. The next prime is 1373925089. The reversal of 1373925072 is 2705293731.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 1373925072.

It is a congruent number.

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, 49179 + ... + 71877.

It is an arithmetic number, because the mean of its divisors is an integer number (48273820).

Almost surely, 21373925072 is an apocalyptic number.

1373925072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1373925072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1930952800).

1373925072 is an abundant number, since it is smaller than the sum of its proper divisors (2487980528).

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

1373925072 is a wasteful number, since it uses less digits than its factorization.

1373925072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22820 (or 22814 counting only the distinct ones).

The product of its (nonzero) digits is 79380, while the sum is 39.

The square root of 1373925072 is about 37066.4952753831. The cubic root of 1373925072 is about 1111.7001978047.

The spelling of 1373925072 in words is "one billion, three hundred seventy-three million, nine hundred twenty-five thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 97 104 156 194 208 291 312 388 582 624 776 1164 1261 1552 2328 2522 3783 4656 5044 7566 10088 15132 20176 22699 30264 45398 60528 68097 90796 136194 181592 272388 295087 363184 544776 590174 885261 1089552 1180348 1770522 2201803 2360696 3541044 4403606 4721392 6605409 7082088 8807212 13210818 14164176 17614424 26421636 28623439 35228848 52843272 57246878 85870317 105686544 114493756 171740634 228987512 343481268 457975024 686962536 1373925072