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1376422300 = 2252116173281
BaseRepresentation
bin101001000001010…
…1000100110011100
310112220222111102201
41102002220212130
510304331003200
6344325301244
746052253001
oct12202504634
93486874381
101376422300
11646a554a0
12324b64824
1318c214a86
14d0b358a8
1580c88c6a
hex520a899c

1376422300 has 144 divisors (see below), whose sum is σ = 3369096864. Its totient is φ = 483840000.

The previous prime is 1376422261. The next prime is 1376422309. The reversal of 1376422300 is 32246731.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1376422309) 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, 4898160 + ... + 4898440.

It is an arithmetic number, because the mean of its divisors is an integer number (23396506).

Almost surely, 21376422300 is an apocalyptic number.

1376422300 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 1376422300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1684548432).

1376422300 is an abundant number, since it is smaller than the sum of its proper divisors (1992674564).

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

1376422300 is a wasteful number, since it uses less digits than its factorization.

1376422300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 28.

The square root of 1376422300 is about 37100.1657678237. The cubic root of 1376422300 is about 1112.3733273270.

Subtracting from 1376422300 its reverse (32246731), we obtain a square (1344175569 = 366632).

The spelling of 1376422300 in words is "one billion, three hundred seventy-six million, four hundred twenty-two thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 61 73 100 110 122 146 220 244 275 281 292 305 365 550 562 610 671 730 803 1100 1124 1220 1342 1405 1460 1525 1606 1825 2684 2810 3050 3091 3212 3355 3650 4015 4453 5620 6100 6182 6710 7025 7300 8030 8906 12364 13420 14050 15455 16060 16775 17141 17812 20075 20513 22265 28100 30910 33550 34282 40150 41026 44530 48983 61820 67100 68564 77275 80300 82052 85705 89060 97966 102565 111325 154550 171410 188551 195932 205130 222650 225643 244915 309100 342820 377102 410260 428525 445300 451286 489830 512825 754204 857050 902572 942755 979660 1025650 1128215 1224575 1251293 1714100 1885510 2051300 2256430 2449150 2502586 3771020 4512860 4713775 4898300 5005172 5641075 6256465 9427550 11282150 12512930 13764223 18855100 22564300 25025860 27528446 31282325 55056892 62564650 68821115 125129300 137642230 275284460 344105575 688211150 1376422300