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1301927424 = 2937196373
BaseRepresentation
bin100110110011001…
…1101011000000000
310100201210202200020
41031212131120000
510131243134144
6333104453440
744156125530
oct11546353000
93321722606
101301927424
116089a4386
1230401a280
13179961375
14c4ca34c0
1579471419
hex4d99d600

1301927424 has 160 divisors (see below), whose sum is σ = 4173185280. Its totient is φ = 352346112.

The previous prime is 1301927411. The next prime is 1301927437. The reversal of 1301927424 is 4247291031.

It is an interprime number because it is at equal distance from previous prime (1301927411) and next prime (1301927437).

It is a congruent number.

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, 201102 + ... + 207474.

It is an arithmetic number, because the mean of its divisors is an integer number (26082408).

Almost surely, 21301927424 is an apocalyptic number.

1301927424 is a gapful number since it is divisible by the number (14) 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 1301927424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2086592640).

1301927424 is an abundant number, since it is smaller than the sum of its proper divisors (2871257856).

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

1301927424 is an equidigital number, since it uses as much as digits as its factorization.

1301927424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6420 (or 6404 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 1301927424 is about 36082.2314165851. The cubic root of 1301927424 is about 1091.9319953894.

The spelling of 1301927424 in words is "one billion, three hundred one million, nine hundred twenty-seven thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 64 76 84 96 112 114 128 133 152 168 192 224 228 256 266 304 336 384 399 448 456 512 532 608 672 768 798 896 912 1064 1216 1344 1536 1596 1792 1824 2128 2432 2688 3192 3584 3648 4256 4864 5376 6373 6384 7296 8512 9728 10752 12746 12768 14592 17024 19119 25492 25536 29184 34048 38238 44611 50984 51072 68096 76476 89222 101968 102144 121087 133833 152952 178444 203936 204288 242174 267666 305904 356888 363261 407872 484348 535332 611808 713776 726522 815744 847609 968696 1070664 1223616 1427552 1453044 1631488 1695218 1937392 2141328 2447232 2542827 2855104 2906088 3262976 3390436 3874784 4282656 4894464 5085654 5710208 5812176 6780872 7749568 8565312 9788928 10171308 11420416 11624352 13561744 15499136 17130624 20342616 22840832 23248704 27123488 30998272 34261248 40685232 46497408 54246976 61996544 68522496 81370464 92994816 108493952 162740928 185989632 216987904 325481856 433975808 650963712 1301927424