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1377313380 = 2232547712293
BaseRepresentation
bin101001000011000…
…0010001001100100
310112222122202202200
41102012002021210
510310043012010
6344400334500
746062653622
oct12206021144
93488582680
101377313380
11647503a23
12325314430
1318c467541
14d0cc8512
1580db2cc0
hex52182264

1377313380 has 144 divisors (see below), whose sum is σ = 4328722944. Its totient is φ = 354251520.

The previous prime is 1377313373. The next prime is 1377313387. The reversal of 1377313380 is 833137731.

It is an interprime number because it is at equal distance from previous prime (1377313373) and next prime (1377313387).

1377313380 is a Gilda number.

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

It is not an unprimeable number, because it can be changed into a prime (1377313387) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 599514 + ... + 601806.

It is an arithmetic number, because the mean of its divisors is an integer number (30060576).

Almost surely, 21377313380 is an apocalyptic number.

1377313380 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 1377313380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2164361472).

1377313380 is an abundant number, since it is smaller than the sum of its proper divisors (2951409564).

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

1377313380 is a wasteful number, since it uses less digits than its factorization.

1377313380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2426 (or 2421 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 1377313380 is about 37112.1729355747. The cubic root of 1377313380 is about 1112.6133214531.

The spelling of 1377313380 in words is "one billion, three hundred seventy-seven million, three hundred thirteen thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 47 60 71 90 94 141 142 180 188 213 235 282 284 355 423 426 470 564 639 705 710 846 852 940 1065 1278 1410 1420 1692 2115 2130 2293 2556 2820 3195 3337 4230 4260 4586 6390 6674 6879 8460 9172 10011 11465 12780 13348 13758 16685 20022 20637 22930 27516 30033 33370 34395 40044 41274 45860 50055 60066 66740 68790 82548 100110 103185 107771 120132 137580 150165 162803 200220 206370 215542 300330 323313 325606 412740 431084 488409 538855 600660 646626 651212 814015 969939 976818 1077710 1293252 1465227 1616565 1628030 1939878 1953636 2155420 2442045 2930454 3233130 3256060 3879756 4849695 4884090 5860908 6466260 7326135 7651741 9699390 9768180 14652270 15303482 19398780 22955223 29304540 30606964 38258705 45910446 68865669 76517410 91820892 114776115 137731338 153034820 229552230 275462676 344328345 459104460 688656690 1377313380