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1023421152 = 253132293581
BaseRepresentation
bin111101000000000…
…010101011100000
32122022202011220010
4331000002223200
54043443434102
6245315244520
734234636065
oct7500025340
92568664803
101023421152
11485770506
122468a9740
1313404a860
1499cc6c6c
155ecaad6c
hex3d002ae0

1023421152 has 96 divisors (see below), whose sum is σ = 2906578080. Its totient is φ = 313436160.

The previous prime is 1023421151. The next prime is 1023421153. The reversal of 1023421152 is 2511243201.

It is an interprime number because it is at equal distance from previous prime (1023421151) and next prime (1023421153).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×10234211522 = 2094781708722014208, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1023421151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 284002 + ... + 287582.

It is an arithmetic number, because the mean of its divisors is an integer number (30276855).

Almost surely, 21023421152 is an apocalyptic number.

1023421152 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 1023421152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1453289040).

1023421152 is an abundant number, since it is smaller than the sum of its proper divisors (1883156928).

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

1023421152 is a wasteful number, since it uses less digits than its factorization.

1023421152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3836 (or 3828 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 1023421152 is about 31990.9542214670. The cubic root of 1023421152 is about 1007.7468815192.

Adding to 1023421152 its reverse (2511243201), we get a palindrome (3534664353).

The spelling of 1023421152 in words is "one billion, twenty-three million, four hundred twenty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 229 312 416 458 624 687 916 1248 1374 1832 2748 2977 3581 3664 5496 5954 7162 7328 8931 10743 10992 11908 14324 17862 21486 21984 23816 28648 35724 42972 46553 47632 57296 71448 85944 93106 95264 114592 139659 142896 171888 186212 279318 285792 343776 372424 558636 744848 820049 1117272 1489696 1640098 2234544 2460147 3280196 4469088 4920294 6560392 9840588 10660637 13120784 19681176 21321274 26241568 31981911 39362352 42642548 63963822 78724704 85285096 127927644 170570192 255855288 341140384 511710576 1023421152