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1035142152 = 2331153167443
BaseRepresentation
bin111101101100110…
…000010000001000
32200010210200002020
4331230300100020
54104444022102
6250414404440
734436364102
oct7554602010
92603720066
101035142152
11491346690
1224a800720
131365c2865
149b698572
1560d23bbc
hex3db30408

1035142152 has 128 divisors (see below), whose sum is σ = 2900136960. Its totient is φ = 305227520.

The previous prime is 1035142151. The next prime is 1035142159. The reversal of 1035142152 is 2512415301.

It is a happy number.

It is a super-2 number, since 2×10351421522 = 2143038549694382208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1035142151) 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, 2336443 + ... + 2336885.

It is an arithmetic number, because the mean of its divisors is an integer number (22657320).

Almost surely, 21035142152 is an apocalyptic number.

1035142152 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 1035142152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1450068480).

1035142152 is an abundant number, since it is smaller than the sum of its proper divisors (1864994808).

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

1035142152 is a wasteful number, since it uses less digits than its factorization.

1035142152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 683 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 1035142152 is about 32173.6250988290. The cubic root of 1035142152 is about 1011.5794494782.

Adding to 1035142152 its reverse (2512415301), we get a palindrome (3547557453).

The spelling of 1035142152 in words is "one billion, thirty-five million, one hundred forty-two thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 53 66 88 106 132 159 167 212 264 318 334 424 443 501 583 636 668 886 1002 1166 1272 1329 1336 1749 1772 1837 2004 2332 2658 3498 3544 3674 4008 4664 4873 5316 5511 6996 7348 8851 9746 10632 11022 13992 14619 14696 17702 19492 22044 23479 26553 29238 35404 38984 44088 46958 53106 58476 70437 70808 73981 93916 97361 106212 116952 140874 147962 187832 194722 212424 221943 258269 281748 292083 295924 389444 443886 516538 563496 584166 591848 774807 778888 813791 887772 1033076 1168332 1549614 1627582 1775544 2066152 2336664 2441373 3099228 3255164 3920993 4882746 6198456 6510328 7841986 9765492 11762979 15683972 19530984 23525958 31367944 43130923 47051916 86261846 94103832 129392769 172523692 258785538 345047384 517571076 1035142152