Search a number
-
+
1572140064 = 253113740237
BaseRepresentation
bin101110110110100…
…1111010000100000
311001120020222201210
41131231033100200
511204431440224
6420000230120
753646653505
oct13555172040
94046228653
101572140064
11737483110
1237a60b340
131c092cbc1
1410cb214ac
1593049429
hex5db4f420

1572140064 has 96 divisors (see below), whose sum is σ = 4623829056. Its totient is φ = 463518720.

The previous prime is 1572140051. The next prime is 1572140099. The reversal of 1572140064 is 4600412751.

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

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, 18954 + ... + 59190.

It is an arithmetic number, because the mean of its divisors is an integer number (48164886).

Almost surely, 21572140064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1572140064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2311914528).

1572140064 is an abundant number, since it is smaller than the sum of its proper divisors (3051688992).

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

1572140064 is a wasteful number, since it uses less digits than its factorization.

1572140064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40298 (or 40290 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 1572140064 is about 39650.2214874016. The cubic root of 1572140064 is about 1162.7787287712.

The spelling of 1572140064 in words is "one billion, five hundred seventy-two million, one hundred forty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 37 44 48 66 74 88 96 111 132 148 176 222 264 296 352 407 444 528 592 814 888 1056 1184 1221 1628 1776 2442 3256 3552 4884 6512 9768 13024 19536 39072 40237 80474 120711 160948 241422 321896 442607 482844 643792 885214 965688 1287584 1327821 1488769 1770428 1931376 2655642 2977538 3540856 3862752 4466307 5311284 5955076 7081712 8932614 10622568 11910152 14163424 16376459 17865228 21245136 23820304 32752918 35730456 42490272 47640608 49129377 65505836 71460912 98258754 131011672 142921824 196517508 262023344 393035016 524046688 786070032 1572140064