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1016353920 = 27354112911
BaseRepresentation
bin111100100101000…
…101010010000000
32121211110010110210
4330211011102000
54040141311140
6244503554120
734120602651
oct7445052200
92554403423
101016353920
1148178381a
1224445b940
13132744b6a
1498da7528
155e361d80
hex3c945480

1016353920 has 128 divisors (see below), whose sum is σ = 3318900480. Its totient is φ = 264396800.

The previous prime is 1016353913. The next prime is 1016353927. The reversal of 1016353920 is 293536101.

It is an interprime number because it is at equal distance from previous prime (1016353913) and next prime (1016353927).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (1016353927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72265 + ... + 85175.

It is an arithmetic number, because the mean of its divisors is an integer number (25928910).

Almost surely, 21016353920 is an apocalyptic number.

1016353920 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 1016353920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1659450240).

1016353920 is an abundant number, since it is smaller than the sum of its proper divisors (2302546560).

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

1016353920 is a wasteful number, since it uses less digits than its factorization.

1016353920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12974 (or 12962 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 30.

The square root of 1016353920 is about 31880.3061465852. The cubic root of 1016353920 is about 1005.4218570053.

The spelling of 1016353920 in words is "one billion, sixteen million, three hundred fifty-three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 41 48 60 64 80 82 96 120 123 128 160 164 192 205 240 246 320 328 384 410 480 492 615 640 656 820 960 984 1230 1312 1640 1920 1968 2460 2624 3280 3936 4920 5248 6560 7872 9840 12911 13120 15744 19680 25822 26240 38733 39360 51644 64555 77466 78720 103288 129110 154932 193665 206576 258220 309864 387330 413152 516440 529351 619728 774660 826304 1032880 1058702 1239456 1549320 1588053 1652608 2065760 2117404 2478912 2646755 3098640 3176106 4131520 4234808 4957824 5293510 6197280 6352212 7940265 8263040 8469616 10587020 12394560 12704424 15880530 16939232 21174040 24789120 25408848 31761060 33878464 42348080 50817696 63522120 67756928 84696160 101635392 127044240 169392320 203270784 254088480 338784640 508176960 1016353920