Search a number
-
+
1007020157 = 111329376563
BaseRepresentation
bin111100000001011…
…110100001111101
32121011212220221212
4330001132201331
54030244121112
6243531534205
733645346553
oct7401364175
92534786855
101007020157
11477489170
122412ba365
13130827620
1497a57bd3
155d61b522
hex3c05e87d

1007020157 has 32 divisors (see below), whose sum is σ = 1257137280. Its totient is φ = 793739520.

The previous prime is 1007020141. The next prime is 1007020163. The reversal of 1007020157 is 7510207001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1007020157 - 24 = 1007020141 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1007020127) 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, 150158 + ... + 156720.

It is an arithmetic number, because the mean of its divisors is an integer number (39285540).

Almost surely, 21007020157 is an apocalyptic number.

It is an amenable number.

1007020157 is a deficient number, since it is larger than the sum of its proper divisors (250117123).

1007020157 is a wasteful number, since it uses less digits than its factorization.

1007020157 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6653.

The product of its (nonzero) digits is 490, while the sum is 23.

The square root of 1007020157 is about 31733.5809041463. The cubic root of 1007020157 is about 1002.3345977452.

Adding to 1007020157 its reverse (7510207001), we get a palindrome (8517227158).

The spelling of 1007020157 in words is "one billion, seven million, twenty thousand, one hundred fifty-seven".

Divisors: 1 11 13 29 37 143 319 377 407 481 1073 4147 5291 6563 11803 13949 72193 85319 153439 190327 242831 938509 2093597 2474251 2671141 3156803 7042099 27216761 34724833 77463089 91547287 1007020157