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1248661380 = 2235197115427
BaseRepresentation
bin100101001101101…
…0000111110000100
310020000120120101210
41022123100332010
510024124131010
6323523051420
742641306121
oct11233207604
93200516353
101248661380
1159092285a
122aa210b70
1316b9014b5
14bbb99748
157494db20
hex4a6d0f84

1248661380 has 96 divisors (see below), whose sum is σ = 3732341760. Its totient is φ = 310988160.

The previous prime is 1248661343. The next prime is 1248661411. The reversal of 1248661380 is 831668421.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73227 + ... + 88653.

It is an arithmetic number, because the mean of its divisors is an integer number (38878560).

Almost surely, 21248661380 is an apocalyptic number.

1248661380 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 1248661380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1866170880).

1248661380 is an abundant number, since it is smaller than the sum of its proper divisors (2483680380).

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

1248661380 is a wasteful number, since it uses less digits than its factorization.

1248661380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15529 (or 15527 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 1248661380 is about 35336.4030427546. The cubic root of 1248661380 is about 1076.8326784220.

The spelling of 1248661380 in words is "one billion, two hundred forty-eight million, six hundred sixty-one thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 71 76 95 114 142 190 213 228 284 285 355 380 426 570 710 852 1065 1140 1349 1420 2130 2698 4047 4260 5396 6745 8094 13490 15427 16188 20235 26980 30854 40470 46281 61708 77135 80940 92562 154270 185124 231405 293113 308540 462810 586226 879339 925620 1095317 1172452 1465565 1758678 2190634 2931130 3285951 3517356 4381268 4396695 5476585 5862260 6571902 8793390 10953170 13143804 16429755 17586780 20811023 21906340 32859510 41622046 62433069 65719020 83244092 104055115 124866138 208110230 249732276 312165345 416220460 624330690 1248661380