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20153040 = 2435131641
BaseRepresentation
bin100110011100…
…0001011010000
31101220212202220
41030320023100
520124344130
61555541040
7333204135
oct114701320
941825686
1020153040
1110415306
1268ba780
134237c9b
14296858c
151b81410
hex13382d0

20153040 has 80 divisors (see below), whose sum is σ = 63049536. Its totient is φ = 5324800.

The previous prime is 20153033. The next prime is 20153047. The reversal of 20153040 is 4035102.

It is an interprime number because it is at equal distance from previous prime (20153033) and next prime (20153047).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×201530402 = 812290042483200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20153047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31120 + ... + 31760.

Almost surely, 220153040 is an apocalyptic number.

20153040 is a gapful number since it is divisible by the number (20) 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 20153040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31524768).

20153040 is an abundant number, since it is smaller than the sum of its proper divisors (42896496).

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

20153040 is a wasteful number, since it uses less digits than its factorization.

20153040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788 (or 782 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 20153040 is about 4489.2137396208. The cubic root of 20153040 is about 272.1323606091.

Adding to 20153040 its reverse (4035102), we get a palindrome (24188142).

The spelling of 20153040 in words is "twenty million, one hundred fifty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 131 240 262 393 524 641 655 786 1048 1282 1310 1572 1923 1965 2096 2564 2620 3144 3205 3846 3930 5128 5240 6288 6410 7692 7860 9615 10256 10480 12820 15384 15720 19230 25640 30768 31440 38460 51280 76920 83971 153840 167942 251913 335884 419855 503826 671768 839710 1007652 1259565 1343536 1679420 2015304 2519130 3358840 4030608 5038260 6717680 10076520 20153040