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1190497152 = 27313238481
BaseRepresentation
bin100011011110101…
…1000101110000000
310001222010112002010
41012331120232000
54414231402102
6314044252520
741334026115
oct10675305600
93058115063
101190497152
11561006149
12292841140
1315c847cb0
14b417890c
156e7aed6c
hex46f58b80

1190497152 has 64 divisors (see below), whose sum is σ = 3405522960. Its totient is φ = 366305280.

The previous prime is 1190497129. The next prime is 1190497153. The reversal of 1190497152 is 2517940911.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×11904971522 = 2834566937840222208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 1190497152.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1190497153) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 114249 + ... + 124232.

Almost surely, 21190497152 is an apocalyptic number.

1190497152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1190497152 is an abundant number, since it is smaller than the sum of its proper divisors (2215025808).

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

1190497152 is a wasteful number, since it uses less digits than its factorization.

1190497152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238511 (or 238499 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 39.

The square root of 1190497152 is about 34503.5817271193. The cubic root of 1190497152 is about 1059.8460533520.

The spelling of 1190497152 in words is "one billion, one hundred ninety million, four hundred ninety-seven thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 312 384 416 624 832 1248 1664 2496 4992 238481 476962 715443 953924 1430886 1907848 2861772 3100253 3815696 5723544 6200506 7631392 9300759 11447088 12401012 15262784 18601518 22894176 24802024 30525568 37203036 45788352 49604048 74406072 91576704 99208096 148812144 198416192 297624288 396832384 595248576 1190497152