Search a number
-
+
1207493001 = 310112132
BaseRepresentation
bin100011111111000…
…1110000110001001
310010011010000000000
41013332032012021
54433104234001
6315452433213
741631343521
oct10776160611
93104100000
101207493001
1156a664400
12298478809
13163218c00
14b6520681
157101aa86
hex47f8e189

1207493001 has 99 divisors (see below), whose sum is σ = 2155778247. Its totient is φ = 675520560.

The previous prime is 1207492969. The next prime is 1207493003. The reversal of 1207493001 is 1003947021.

The square root of 1207493001 is 34749.

It is a perfect power (a square), and thus also a powerful number.

1207493001 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 178623225 + 1028869776 = 13365^2 + 32076^2 .

It is a tau number, because it is divible by the number of its divisors (99).

It is not a de Polignac number, because 1207493001 - 25 = 1207492969 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1207493003) by changing a digit.

It is a polite number, since it can be written in 98 ways as a sum of consecutive naturals, for example, 92884071 + ... + 92884083.

Almost surely, 21207493001 is an apocalyptic number.

1207493001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1207493001 is the 34749-th square number.

1207493001 is the 17375-th centered octagonal number.

It is an amenable number.

1207493001 is a deficient number, since it is larger than the sum of its proper divisors (948285246).

1207493001 is an frugal number, since it uses more digits than its factorization.

1207493001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The cubic root of 1207493001 is about 1064.8657874910.

The spelling of 1207493001 in words is "one billion, two hundred seven million, four hundred ninety-three thousand, one".

Divisors: 1 3 9 11 13 27 33 39 81 99 117 121 143 169 243 297 351 363 429 507 729 891 1053 1089 1287 1521 1573 1859 2187 2673 3159 3267 3861 4563 4719 5577 6561 8019 9477 9801 11583 13689 14157 16731 19683 20449 24057 28431 29403 34749 41067 42471 50193 59049 61347 72171 85293 88209 104247 123201 127413 150579 184041 216513 255879 264627 312741 369603 382239 451737 552123 649539 767637 793881 938223 1108809 1146717 1355211 1656369 2381643 2814669 3326427 3440151 4065633 4969107 7144929 8444007 9979281 10320453 12196899 14907321 30961359 36590697 44721963 92884077 109772091 134165889 402497667 1207493001