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1055346936 = 2337431391051
BaseRepresentation
bin111110111001110…
…101000011111000
32201112211011211120
4332321311003320
54130132100221
6252415425240
735103205140
oct7671650370
92645734746
101055346936
114a1796856
12255525220
1313a848257
14a0237920
15629b55c6
hex3ee750f8

1055346936 has 128 divisors (see below), whose sum is σ = 3110553600. Its totient is φ = 292118400.

The previous prime is 1055346931. The next prime is 1055346989. The reversal of 1055346936 is 6396435501.

It is a super-2 number, since 2×10553469362 = 2227514310649176192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1055346931) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1003611 + ... + 1004661.

It is an arithmetic number, because the mean of its divisors is an integer number (24301200).

Almost surely, 21055346936 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1055346936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1555276800).

1055346936 is an abundant number, since it is smaller than the sum of its proper divisors (2055206664).

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

1055346936 is a wasteful number, since it uses less digits than its factorization.

1055346936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1249 (or 1245 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 42.

The square root of 1055346936 is about 32486.1037368288. The cubic root of 1055346936 is about 1018.1187083584.

The spelling of 1055346936 in words is "one billion, fifty-five million, three hundred forty-six thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 43 56 84 86 129 139 168 172 258 278 301 344 417 516 556 602 834 903 973 1032 1051 1112 1204 1668 1806 1946 2102 2408 2919 3153 3336 3612 3892 4204 5838 5977 6306 7224 7357 7784 8408 11676 11954 12612 14714 17931 22071 23352 23908 25224 29428 35862 41839 44142 45193 47816 58856 71724 83678 88284 90386 125517 135579 143448 146089 167356 176568 180772 251034 271158 292178 316351 334712 361544 438267 502068 542316 584356 632702 876534 949053 1004136 1022623 1084632 1168712 1265404 1753068 1898106 2045246 2530808 3067869 3506136 3796212 4090492 6135738 6281827 7592424 8180984 12271476 12563654 18845481 24542952 25127308 37690962 43972789 50254616 75381924 87945578 131918367 150763848 175891156 263836734 351782312 527673468 1055346936