Search a number
-
+
1372705740 = 2232578912241
BaseRepresentation
bin101000111010001…
…1101001111001100
310112122222200021100
41101310131033030
510302403040430
6344113503100
746005543360
oct12164351714
93478880240
101372705740
1164494715a
12323871a90
1318b513223
14d04492a0
15807a2960
hex51d1d3cc

1372705740 has 144 divisors (see below), whose sum is σ = 4812575040. Its totient is φ = 310210560.

The previous prime is 1372705739. The next prime is 1372705751. The reversal of 1372705740 is 475072731.

1372705740 is a `hidden beast` number, since 13 + 7 + 2 + 70 + 574 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1372705695 and 1372705704.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 106020 + ... + 118260.

It is an arithmetic number, because the mean of its divisors is an integer number (33420660).

Almost surely, 21372705740 is an apocalyptic number.

1372705740 is a gapful number since it is divisible by the number (10) 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 1372705740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2406287520).

1372705740 is an abundant number, since it is smaller than the sum of its proper divisors (3439869300).

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

1372705740 is a wasteful number, since it uses less digits than its factorization.

1372705740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12352 (or 12347 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 36.

The square root of 1372705740 is about 37050.0437246706. The cubic root of 1372705740 is about 1111.3712296405.

The spelling of 1372705740 in words is "one billion, three hundred seventy-two million, seven hundred five thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 89 90 105 126 140 178 180 210 252 267 315 356 420 445 534 623 630 801 890 1068 1246 1260 1335 1602 1780 1869 2492 2670 3115 3204 3738 4005 5340 5607 6230 7476 8010 9345 11214 12241 12460 16020 18690 22428 24482 28035 36723 37380 48964 56070 61205 73446 85687 110169 112140 122410 146892 171374 183615 220338 244820 257061 342748 367230 428435 440676 514122 550845 734460 771183 856870 1028244 1089449 1101690 1285305 1542366 1713740 2178898 2203380 2570610 3084732 3268347 3855915 4357796 5141220 5447245 6536694 7626143 7711830 9805041 10894490 13073388 15252286 15423660 16341735 19610082 21788980 22878429 30504572 32683470 38130715 39220164 45756858 49025205 65366940 68635287 76261430 91513716 98050410 114392145 137270574 152522860 196100820 228784290 274541148 343176435 457568580 686352870 1372705740