Search a number
-
+
1061964120 = 233574329401
BaseRepresentation
bin111111010011000…
…100100101011000
32202000021100220110
4333103010211120
54133330322440
6253213324320
735213355210
oct7723044530
92660240813
101061964120
114a54a63a8
122577966a0
1313c024149
14a107b240
1563371080
hex3f4c4958

1061964120 has 128 divisors (see below), whose sum is σ = 3725821440. Its totient is φ = 237081600.

The previous prime is 1061964091. The next prime is 1061964139. The reversal of 1061964120 is 214691601.

It is a happy number.

1061964120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10619641202 = 2255535584334748800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21420 + ... + 50820.

It is an arithmetic number, because the mean of its divisors is an integer number (29107980).

Almost surely, 21061964120 is an apocalyptic number.

1061964120 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 1061964120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1862910720).

1061964120 is an abundant number, since it is smaller than the sum of its proper divisors (2663857320).

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

1061964120 is a wasteful number, since it uses less digits than its factorization.

1061964120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29465 (or 29461 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 1061964120 is about 32587.7909653293. The cubic root of 1061964120 is about 1020.2421954666.

The spelling of 1061964120 in words is "one billion, sixty-one million, nine hundred sixty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 43 56 60 70 84 86 105 120 129 140 168 172 210 215 258 280 301 344 420 430 516 602 645 840 860 903 1032 1204 1290 1505 1720 1806 2408 2580 3010 3612 4515 5160 6020 7224 9030 12040 18060 29401 36120 58802 88203 117604 147005 176406 205807 235208 294010 352812 411614 441015 588020 617421 705624 823228 882030 1029035 1176040 1234842 1264243 1646456 1764060 2058070 2469684 2528486 3087105 3528120 3792729 4116140 4939368 5056972 6174210 6321215 7585458 8232280 8849701 10113944 12348420 12642430 15170916 17699402 18963645 24696840 25284860 26549103 30341832 35398804 37927290 44248505 50569720 53098206 70797608 75854580 88497010 106196412 132745515 151709160 176994020 212392824 265491030 353988040 530982060 1061964120