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1013501040 = 243519376007
BaseRepresentation
bin111100011010001…
…100110001110000
32121122002012001120
4330122030301300
54033424013130
6244322502240
734054421346
oct7432146160
92548065046
101013501040
11480105372
12243504980
13131c86476
1498863996
155de9b910
hex3c68cc70

1013501040 has 160 divisors (see below), whose sum is σ = 3397163520. Its totient is φ = 249080832.

The previous prime is 1013501029. The next prime is 1013501051. The reversal of 1013501040 is 401053101.

It is an interprime number because it is at equal distance from previous prime (1013501029) and next prime (1013501051).

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 165717 + ... + 171723.

It is an arithmetic number, because the mean of its divisors is an integer number (21232272).

Almost surely, 21013501040 is an apocalyptic number.

1013501040 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 1013501040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1698581760).

1013501040 is an abundant number, since it is smaller than the sum of its proper divisors (2383662480).

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

1013501040 is a wasteful number, since it uses less digits than its factorization.

1013501040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6079 (or 6073 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 1013501040 is about 31835.5310934182. The cubic root of 1013501040 is about 1004.4802441027.

Adding to 1013501040 its reverse (401053101), we get a palindrome (1414554141).

The spelling of 1013501040 in words is "one billion, thirteen million, five hundred one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 37 38 40 48 57 60 74 76 80 95 111 114 120 148 152 185 190 222 228 240 285 296 304 370 380 444 456 555 570 592 703 740 760 888 912 1110 1140 1406 1480 1520 1776 2109 2220 2280 2812 2960 3515 4218 4440 4560 5624 6007 7030 8436 8880 10545 11248 12014 14060 16872 18021 21090 24028 28120 30035 33744 36042 42180 48056 56240 60070 72084 84360 90105 96112 114133 120140 144168 168720 180210 222259 228266 240280 288336 342399 360420 444518 456532 480560 570665 666777 684798 720840 889036 913064 1111295 1141330 1333554 1369596 1441680 1711995 1778072 1826128 2222590 2282660 2667108 2739192 3333885 3423990 3556144 4222921 4445180 4565320 5334216 5478384 6667770 6847980 8445842 8890360 9130640 10668432 12668763 13335540 13695960 16891684 17780720 21114605 25337526 26671080 27391920 33783368 42229210 50675052 53342160 63343815 67566736 84458420 101350104 126687630 168916840 202700208 253375260 337833680 506750520 1013501040