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121803552 = 25321332533
BaseRepresentation
bin1110100001010…
…01001100100000
322111012021001200
413100221030200
5222140203202
620030401200
73006212253
oct720511440
9274167050
10121803552
11628338a2
1234960200
131c308b10
141226909a
15aa5ee1c
hex7429320

121803552 has 72 divisors (see below), whose sum is σ = 373034844. Its totient is φ = 37476864.

The previous prime is 121803533. The next prime is 121803559. The reversal of 121803552 is 255308121.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 110754576 + 11048976 = 10524^2 + 3324^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×1218035522 = 29672210559633408, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (121803559) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12523 + ... + 20010.

Almost surely, 2121803552 is an apocalyptic number.

121803552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

121803552 is an abundant number, since it is smaller than the sum of its proper divisors (251231292).

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

121803552 is a wasteful number, since it uses less digits than its factorization.

121803552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32562 (or 32551 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 121803552 is about 11036.4646513274. The cubic root of 121803552 is about 495.7012161679.

The spelling of 121803552 in words is "one hundred twenty-one million, eight hundred three thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 32533 65066 97599 130132 195198 260264 292797 390396 422929 520528 585594 780792 845858 1041056 1171188 1268787 1561584 1691716 2342376 2537574 3123168 3383432 3806361 4684752 5075148 6766864 7612722 9369504 10150296 13533728 15225444 20300592 30450888 40601184 60901776 121803552