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1061305440 = 253513170081
BaseRepresentation
bin111111010000100…
…011110001100000
32201222000220100220
4333100203301200
54133143233230
6253151243040
735204642646
oct7720436140
92658026326
101061305440
114a5096538
12257519480
1313bb533b0
14a0d49196
1563290d10
hex3f423c60

1061305440 has 96 divisors (see below), whose sum is σ = 3600295776. Its totient is φ = 261242880.

The previous prime is 1061305397. The next prime is 1061305519. The reversal of 1061305440 is 445031601.

1061305440 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×10613054402 = 2252738473947187200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1061305440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78801 + ... + 91280.

It is an arithmetic number, because the mean of its divisors is an integer number (37503081).

Almost surely, 21061305440 is an apocalyptic number.

1061305440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1061305440 is an abundant number, since it is smaller than the sum of its proper divisors (2538990336).

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

1061305440 is a wasteful number, since it uses less digits than its factorization.

1061305440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170112 (or 170104 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 1061305440 is about 32577.6831588743. The cubic root of 1061305440 is about 1020.0312178066.

The spelling of 1061305440 in words is "one billion, sixty-one million, three hundred five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 65 78 80 96 104 120 130 156 160 195 208 240 260 312 390 416 480 520 624 780 1040 1248 1560 2080 3120 6240 170081 340162 510243 680324 850405 1020486 1360648 1700810 2040972 2211053 2551215 2721296 3401620 4081944 4422106 5102430 5442592 6633159 6803240 8163888 8844212 10204860 11055265 13266318 13606480 16327776 17688424 20409720 22110530 26532636 27212960 33165795 35376848 40819440 44221060 53065272 66331590 70753696 81638880 88442120 106130544 132663180 176884240 212261088 265326360 353768480 530652720 1061305440