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1040151252 = 223737432181
BaseRepresentation
bin111101111111110…
…111001011010100
32200111020011021110
4331333313023110
54112234320002
6251114015020
734530065640
oct7577671324
92614204243
101040151252
11494158038
12250417470
1313765781a
149c1ddc20
15614b2e6c
hex3dff72d4

1040151252 has 144 divisors (see below), whose sum is σ = 2932605312. Its totient is φ = 280869120.

The previous prime is 1040151251. The next prime is 1040151253. The reversal of 1040151252 is 2521510401.

It is an interprime number because it is at equal distance from previous prime (1040151251) and next prime (1040151253).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1040151251) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5746602 + ... + 5746782.

Almost surely, 21040151252 is an apocalyptic number.

1040151252 is a gapful number since it is divisible by the number (12) 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 1040151252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1466302656).

1040151252 is an abundant number, since it is smaller than the sum of its proper divisors (1892454060).

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

1040151252 is a wasteful number, since it uses less digits than its factorization.

1040151252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

The square root of 1040151252 is about 32251.3759706466. The cubic root of 1040151252 is about 1013.2085175887.

Adding to 1040151252 its reverse (2521510401), we get a palindrome (3561661653).

It can be divided in two parts, 1040151 and 252, that added together give a triangular number (1040403 = T1442).

The spelling of 1040151252 in words is "one billion, forty million, one hundred fifty-one thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 37 42 43 74 84 86 111 129 148 172 181 222 258 259 301 362 444 516 518 543 602 724 777 903 1036 1086 1204 1267 1554 1591 1806 1849 2172 2534 3108 3182 3612 3698 3801 4773 5068 5547 6364 6697 7396 7602 7783 9546 11094 11137 12943 13394 15204 15566 19092 20091 22188 22274 23349 25886 26788 31132 33411 38829 40182 44548 46698 46879 51772 54481 66822 68413 77658 80364 93396 93758 108962 133644 136826 140637 155316 163443 187516 205239 217924 273652 281274 287971 326886 334669 410478 478891 562548 575942 653772 669338 820956 863913 957782 1004007 1151884 1338676 1436673 1727826 1915564 2008014 2015797 2342683 2873346 3455652 4016028 4031594 4685366 5746692 6047391 7028049 8063188 9370732 12094782 12382753 14056098 24189564 24765506 28112196 37148259 49531012 74296518 86679271 148593036 173358542 260037813 346717084 520075626 1040151252