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1378605216 = 253311493109
BaseRepresentation
bin101001000101011…
…1101100010100000
310120002002101211110
41102022331202200
510310410331331
6344444143320
746106644122
oct12212754240
93502071743
101378605216
1164820655a
12325837b40
1318c7ca541
14d1143212
158106a946
hex522bd8a0

1378605216 has 96 divisors (see below), whose sum is σ = 3761856000. Its totient is φ = 441584640.

The previous prime is 1378605203. The next prime is 1378605229. The reversal of 1378605216 is 6125068731.

It is an interprime number because it is at equal distance from previous prime (1378605203) and next prime (1378605229).

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 441870 + ... + 444978.

It is an arithmetic number, because the mean of its divisors is an integer number (39186000).

Almost surely, 21378605216 is an apocalyptic number.

1378605216 is a gapful number since it is divisible by the number (16) 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 1378605216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1880928000).

1378605216 is an abundant number, since it is smaller than the sum of its proper divisors (2383250784).

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

1378605216 is a wasteful number, since it uses less digits than its factorization.

1378605216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3302 (or 3294 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 1378605216 is about 37129.5733344729. The cubic root of 1378605216 is about 1112.9610672474.

The spelling of 1378605216 in words is "one billion, three hundred seventy-eight million, six hundred five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 149 186 248 298 372 447 496 596 744 894 992 1192 1488 1788 2384 2976 3109 3576 4619 4768 6218 7152 9238 9327 12436 13857 14304 18476 18654 24872 27714 36952 37308 49744 55428 73904 74616 96379 99488 110856 147808 149232 192758 221712 289137 298464 385516 443424 463241 578274 771032 926482 1156548 1389723 1542064 1852964 2313096 2779446 3084128 3705928 4626192 5558892 7411856 9252384 11117784 14360471 14823712 22235568 28720942 43081413 44471136 57441884 86162826 114883768 172325652 229767536 344651304 459535072 689302608 1378605216