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1307050272 = 2532113113309
BaseRepresentation
bin100110111101000…
…0000000100100000
310101002110000220100
41031322000010200
510134101102042
6333410342400
744250513123
oct11572000440
93332400810
101307050272
11610883240
1230588aa00
1317aa36038
14c58383ba
1579b3424c
hex4de80120

1307050272 has 144 divisors (see below), whose sum is σ = 4185941760. Its totient is φ = 383270400.

The previous prime is 1307050267. The next prime is 1307050291. The reversal of 1307050272 is 2720507031.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91554 + ... + 104862.

It is an arithmetic number, because the mean of its divisors is an integer number (29069040).

Almost surely, 21307050272 is an apocalyptic number.

1307050272 is a gapful number since it is divisible by the number (12) 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 1307050272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2092970880).

1307050272 is an abundant number, since it is smaller than the sum of its proper divisors (2878891488).

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

1307050272 is a wasteful number, since it uses less digits than its factorization.

1307050272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13367 (or 13356 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 1307050272 is about 36153.1502361827. The cubic root of 1307050272 is about 1093.3623057297.

The spelling of 1307050272 in words is "one billion, three hundred seven million, fifty thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 31 32 33 36 44 48 62 66 72 88 93 96 99 124 132 144 176 186 198 248 264 279 288 341 352 372 396 496 528 558 682 744 792 992 1023 1056 1116 1364 1488 1584 2046 2232 2728 2976 3069 3168 4092 4464 5456 6138 8184 8928 10912 12276 13309 16368 24552 26618 32736 39927 49104 53236 79854 98208 106472 119781 146399 159708 212944 239562 292798 319416 412579 425888 439197 479124 585596 638832 825158 878394 958248 1171192 1237737 1277664 1317591 1650316 1756788 1916496 2342384 2475474 2635182 3300632 3513576 3713211 3832992 4538369 4684768 4950948 5270364 6601264 7027152 7426422 9076738 9901896 10540728 13202528 13615107 14054304 14852844 18153476 19803792 21081456 27230214 29705688 36306952 39607584 40845321 42162912 54460428 59411376 72613904 81690642 108920856 118822752 145227808 163381284 217841712 326762568 435683424 653525136 1307050272