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1037401380 = 2232561107883
BaseRepresentation
bin111101110101010…
…111110100100100
32200022001110011100
4331311113310210
54111033321010
6250535040100
734464523551
oct7565276444
92608043140
101037401380
1149264a014
1224b510030
13136c03c92
149bac5a28
156111d2c0
hex3dd57d24

1037401380 has 144 divisors (see below), whose sum is σ = 3231918144. Its totient is φ = 269256960.

The previous prime is 1037401331. The next prime is 1037401397. The reversal of 1037401380 is 831047301.

It is a zygodrome in base 3.

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, 1174419 + ... + 1175301.

It is an arithmetic number, because the mean of its divisors is an integer number (22443876).

Almost surely, 21037401380 is an apocalyptic number.

1037401380 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 1037401380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1615959072).

1037401380 is an abundant number, since it is smaller than the sum of its proper divisors (2194516764).

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

1037401380 is a wasteful number, since it uses less digits than its factorization.

1037401380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1066 (or 1061 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 1037401380 is about 32208.7159011346. The cubic root of 1037401380 is about 1012.3148486317.

Adding to 1037401380 its reverse (831047301), we get a palindrome (1868448681).

The spelling of 1037401380 in words is "one billion, thirty-seven million, four hundred one thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 61 90 107 122 180 183 214 244 305 321 366 428 535 549 610 642 732 883 915 963 1070 1098 1220 1284 1605 1766 1830 1926 2140 2196 2649 2745 3210 3532 3660 3852 4415 4815 5298 5490 6420 6527 7947 8830 9630 10596 10980 13054 13245 15894 17660 19260 19581 26108 26490 31788 32635 39162 39735 52980 53863 58743 65270 78324 79470 94481 97905 107726 117486 130540 158940 161589 188962 195810 215452 234972 269315 283443 293715 323178 377924 391620 472405 484767 538630 566886 587430 646356 807945 850329 944810 969534 1077260 1133772 1174860 1417215 1615890 1700658 1889620 1939068 2423835 2834430 3231780 3401316 4251645 4847670 5668860 5763341 8503290 9695340 11526682 17006580 17290023 23053364 28816705 34580046 51870069 57633410 69160092 86450115 103740138 115266820 172900230 207480276 259350345 345800460 518700690 1037401380