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153121540 = 2251113371447
BaseRepresentation
bin10010010000001…
…11001100000100
3101200010101021011
421020013030010
5303144342130
623105532004
73536340325
oct1110071404
9350111234
10153121540
1179484530
1243344004
1325952980
141649c44c
15d69952a
hex9207304

153121540 has 96 divisors (see below), whose sum is σ = 388249344. Its totient is φ = 49973760.

The previous prime is 153121523. The next prime is 153121541. The reversal of 153121540 is 45121351.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (153121541) 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, 105097 + ... + 106543.

It is an arithmetic number, because the mean of its divisors is an integer number (4044264).

Almost surely, 2153121540 is an apocalyptic number.

153121540 is a gapful number since it is divisible by the number (10) 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 153121540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194124672).

153121540 is an abundant number, since it is smaller than the sum of its proper divisors (235127804).

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

153121540 is a wasteful number, since it uses less digits than its factorization.

153121540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1517 (or 1515 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

The square root of 153121540 is about 12374.2288648627. The cubic root of 153121540 is about 534.9897106939.

Adding to 153121540 its reverse (45121351), we get a palindrome (198242891).

The spelling of 153121540 in words is "one hundred fifty-three million, one hundred twenty-one thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 13 20 22 26 37 44 52 55 65 74 110 130 143 148 185 220 260 286 370 407 481 572 715 740 814 962 1430 1447 1628 1924 2035 2405 2860 2894 4070 4810 5291 5788 7235 8140 9620 10582 14470 15917 18811 21164 26455 28940 31834 37622 52910 53539 63668 75244 79585 94055 105820 107078 159170 188110 206921 214156 267695 318340 376220 413842 535390 588929 696007 827684 1034605 1070780 1177858 1392014 2069210 2355716 2784028 2944645 3480035 4138420 5889290 6960070 7656077 11778580 13920140 15312154 30624308 38280385 76560770 153121540