Search a number
-
+
1381000960 = 2852361769
BaseRepresentation
bin101001001010000…
…0110011100000000
310120020121010011201
41102110012130000
510312014012320
6345011350544
746136212603
oct12224063400
93506533151
101381000960
116495a2509
123265b2454
13190158b41
14d15a833a
158139070a
hex52506700

1381000960 has 144 divisors (see below), whose sum is σ = 3512900160. Its totient is φ = 519045120.

The previous prime is 1381000939. The next prime is 1381000969. The reversal of 1381000960 is 690001831.

1381000960 = T30341 + T30342 + T30343.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1381000969) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1795456 + ... + 1796224.

It is an arithmetic number, because the mean of its divisors is an integer number (24395140).

Almost surely, 21381000960 is an apocalyptic number.

1381000960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1381000960 is the 30343-rd centered triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1381000960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1756450080).

1381000960 is an abundant number, since it is smaller than the sum of its proper divisors (2131899200).

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

1381000960 is an equidigital number, since it uses as much as digits as its factorization.

1381000960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 874 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 28.

The square root of 1381000960 is about 37161.8212686085. The cubic root of 1381000960 is about 1113.6053964375.

The spelling of 1381000960 in words is "one billion, three hundred eighty-one million, nine hundred sixty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 61 64 80 92 115 122 128 160 184 230 244 256 305 320 368 460 488 610 640 736 769 920 976 1220 1280 1403 1472 1538 1840 1952 2440 2806 2944 3076 3680 3845 3904 4880 5612 5888 6152 7015 7360 7690 7808 9760 11224 12304 14030 14720 15380 15616 17687 19520 22448 24608 28060 29440 30760 35374 39040 44896 46909 49216 56120 61520 70748 78080 88435 89792 93818 98432 112240 123040 141496 176870 179584 187636 196864 224480 234545 246080 282992 353740 359168 375272 448960 469090 492160 565984 707480 750544 897920 938180 984320 1078907 1131968 1414960 1501088 1795840 1876360 2157814 2263936 2829920 3002176 3752720 4315628 4527872 5394535 5659840 6004352 7505440 8631256 10789070 11319680 12008704 15010880 17262512 21578140 22639360 30021760 34525024 43156280 60043520 69050048 86312560 138100096 172625120 276200192 345250240 690500480 1381000960