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1252001142 = 2327175771013
BaseRepresentation
bin100101010100000…
…0000010101110110
310020020212020200200
41022220000111312
510031003014032
6324122421330
743011556050
oct11250002566
93206766620
101252001142
115927a3a97
122ab361846
1316c5006a2
14bc3c88d0
1574dad47c
hex4aa00576

1252001142 has 96 divisors (see below), whose sum is σ = 3291492672. Its totient is φ = 335757312.

The previous prime is 1252001131. The next prime is 1252001167. The reversal of 1252001142 is 2411002521.

1252001142 is a `hidden beast` number, since 1 + 2 + 520 + 0 + 1 + 142 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1235428 + ... + 1236440.

It is an arithmetic number, because the mean of its divisors is an integer number (34286382).

Almost surely, 21252001142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1252001142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1645746336).

1252001142 is an abundant number, since it is smaller than the sum of its proper divisors (2039491530).

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

1252001142 is a wasteful number, since it uses less digits than its factorization.

1252001142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1622 (or 1619 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 1252001142 is about 35383.6281633187. The cubic root of 1252001142 is about 1077.7918824959.

Adding to 1252001142 its reverse (2411002521), we get a palindrome (3663003663).

The spelling of 1252001142 in words is "one billion, two hundred fifty-two million, one thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 51 63 102 119 126 153 238 306 357 577 714 1013 1071 1154 1731 2026 2142 3039 3462 4039 5193 6078 7091 8078 9117 9809 10386 12117 14182 17221 18234 19618 21273 24234 29427 34442 36351 42546 51663 58854 63819 68663 72702 88281 103326 120547 127638 137326 154989 176562 205989 241094 309978 361641 411978 584501 617967 723282 1084923 1169002 1235934 1753503 2169846 3507006 4091507 5260509 8183014 9936517 10521018 12274521 19873034 24549042 29809551 36823563 59619102 69555619 73647126 89428653 139111238 178857306 208666857 417333714 626000571 1252001142