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1061212416 = 28311125617
BaseRepresentation
bin111111010000001…
…101000100000000
32201221212011202120
4333100031010000
54133132244131
6253145244240
735204104515
oct7720150400
92657764676
101061212416
114a5032660
12257493680
1313bb1cc54
14a0d2330c
1563273496
hex3f40d100

1061212416 has 72 divisors (see below), whose sum is σ = 3081158304. Its totient is φ = 321576960.

The previous prime is 1061212391. The next prime is 1061212441. The reversal of 1061212416 is 6142121601.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1061212391) and next prime (1061212441).

It is a super-2 number, since 2×10612124162 = 2252343583745114112, which contains 22 as substring.

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

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 54361 + ... + 71256.

Almost surely, 21061212416 is an apocalyptic number.

1061212416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1061212416 is an abundant number, since it is smaller than the sum of its proper divisors (2019945888).

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

1061212416 is a wasteful number, since it uses less digits than its factorization.

1061212416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125647 (or 125633 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 1061212416 is about 32576.2554017493. The cubic root of 1061212416 is about 1020.0014148385.

The spelling of 1061212416 in words is "one billion, sixty-one million, two hundred twelve thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 528 704 768 1056 1408 2112 2816 4224 8448 125617 251234 376851 502468 753702 1004936 1381787 1507404 2009872 2763574 3014808 4019744 4145361 5527148 6029616 8039488 8290722 11054296 12059232 16078976 16581444 22108592 24118464 32157952 33162888 44217184 48236928 66325776 88434368 96473856 132651552 176868736 265303104 353737472 530606208 1061212416