Search a number
-
+
100920976 = 24131728541
BaseRepresentation
bin1100000001111…
…10111010010000
321000220022112221
412000332322100
5201313432401
614003030424
72333546152
oct600767220
9230808487
10100920976
1151a70472
122996b414
1317ba6a70
14d590ad2
158cd77a1
hex603ee90

100920976 has 40 divisors (see below), whose sum is σ = 222970104. Its totient is φ = 43837440.

The previous prime is 100920971. The next prime is 100920977. The reversal of 100920976 is 679029001.

It can be written as a sum of positive squares in 4 ways, for example, as 4410000 + 96510976 = 2100^2 + 9824^2 .

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100920971) 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, 10735 + ... + 17806.

Almost surely, 2100920976 is an apocalyptic number.

100920976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

100920976 is an abundant number, since it is smaller than the sum of its proper divisors (122049128).

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

100920976 is a wasteful number, since it uses less digits than its factorization.

100920976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28579 (or 28573 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 34.

The square root of 100920976 is about 10045.9432608392. The cubic root of 100920976 is about 465.5794618228.

Adding to 100920976 its reverse (679029001), we get a palindrome (779949977).

The spelling of 100920976 in words is "one hundred million, nine hundred twenty thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 13 16 17 26 34 52 68 104 136 208 221 272 442 884 1768 3536 28541 57082 114164 228328 371033 456656 485197 742066 970394 1484132 1940788 2968264 3881576 5936528 6307561 7763152 12615122 25230244 50460488 100920976