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1030153152 = 26371914013
BaseRepresentation
bin111101011001101…
…110001111000000
32122210102012110110
4331121232033000
54102204400102
6250115431320
734346104650
oct7531561700
92583365413
101030153152
11489549346
12248bb5540
13135566aa2
149ab5a360
156068a86c
hex3d66e3c0

1030153152 has 112 divisors (see below), whose sum is σ = 3132076032. Its totient is φ = 292715520.

The previous prime is 1030153147. The next prime is 1030153171. The reversal of 1030153152 is 2513510301.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×10301531522 = 2122431033151070208, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 254698 + ... + 258710.

Almost surely, 21030153152 is an apocalyptic number.

1030153152 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 1030153152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1566038016).

1030153152 is an abundant number, since it is smaller than the sum of its proper divisors (2101922880).

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

1030153152 is a wasteful number, since it uses less digits than its factorization.

1030153152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4226 (or 4216 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 21.

The square root of 1030153152 is about 32095.9990029910. Note that the first 3 decimals coincide. The cubic root of 1030153152 is about 1009.9516860855.

Adding to 1030153152 its reverse (2513510301), we get a palindrome (3543663453).

The spelling of 1030153152 in words is "one billion, thirty million, one hundred fifty-three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 191 192 224 336 382 448 573 672 764 1146 1337 1344 1528 2292 2674 3056 4011 4013 4584 5348 6112 8022 8026 9168 10696 12039 12224 16044 16052 18336 21392 24078 28091 32088 32104 36672 42784 48156 56182 64176 64208 84273 85568 96312 112364 128352 128416 168546 192624 224728 256704 256832 337092 385248 449456 674184 766483 770496 898912 1348368 1532966 1797824 2299449 2696736 3065932 4598898 5365381 5393472 6131864 9197796 10730762 12263728 16096143 18395592 21461524 24527456 32192286 36791184 42923048 49054912 64384572 73582368 85846096 128769144 147164736 171692192 257538288 343384384 515076576 1030153152