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102263070 = 23571347797
BaseRepresentation
bin1100001100001…
…10100100011110
321010102111120010
412012012210132
5202134404240
614051504050
72351136030
oct606064436
9233374503
10102263070
11527a7838
122a2b8026
13182568c0
14d81dc50
158ea0280
hex618691e

102263070 has 128 divisors (see below), whose sum is σ = 308883456. Its totient is φ = 21090816.

The previous prime is 102263069. The next prime is 102263071. The reversal of 102263070 is 70362201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (102263069) and next prime (102263071).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102263071) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 127912 + ... + 128708.

It is an arithmetic number, because the mean of its divisors is an integer number (2413152).

Almost surely, 2102263070 is an apocalyptic number.

102263070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102263070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154441728).

102263070 is an abundant number, since it is smaller than the sum of its proper divisors (206620386).

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

102263070 is a wasteful number, since it uses less digits than its factorization.

102263070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 874.

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 102263070 is about 10112.5204573341. The cubic root of 102263070 is about 467.6342108496.

The spelling of 102263070 in words is "one hundred two million, two hundred sixty-three thousand, seventy".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 47 65 70 78 91 94 105 130 141 182 195 210 235 273 282 329 390 455 470 546 611 658 705 797 910 987 1222 1365 1410 1594 1645 1833 1974 2391 2730 3055 3290 3666 3985 4277 4782 4935 5579 6110 7970 8554 9165 9870 10361 11158 11955 12831 16737 18330 20722 21385 23910 25662 27895 31083 33474 37459 42770 51805 55790 62166 64155 72527 74918 83685 103610 112377 128310 145054 155415 167370 187295 217581 224754 262213 310830 362635 374590 435162 486967 524426 561885 725270 786639 973934 1087905 1123770 1311065 1460901 1573278 2175810 2434835 2622130 2921802 3408769 3933195 4869670 6817538 7304505 7866390 10226307 14609010 17043845 20452614 34087690 51131535 102263070