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100551440 = 24511163701
BaseRepresentation
bin1011111111001…
…00101100010000
321000012112122102
411333210230100
5201220121230
613551055532
72330446613
oct577445420
9230175572
10100551440
1151838870
12298115a8
1317aa77c2
14d4d617a
158c63045
hex5fe4b10

100551440 has 80 divisors (see below), whose sum is σ = 256965696. Its totient is φ = 36288000.

The previous prime is 100551433. The next prime is 100551463. The reversal of 100551440 is 44155001.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1005514402 = 20221184172147200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 143090 + ... + 143790.

Almost surely, 2100551440 is an apocalyptic number.

100551440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100551440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128482848).

100551440 is an abundant number, since it is smaller than the sum of its proper divisors (156414256).

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

100551440 is a wasteful number, since it uses less digits than its factorization.

100551440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 888 (or 882 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 100551440 is about 10027.5340936842. The cubic root of 100551440 is about 465.0105057942.

The spelling of 100551440 in words is "one hundred million, five hundred fifty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 163 176 220 326 440 652 701 815 880 1304 1402 1630 1793 2608 2804 3260 3505 3586 5608 6520 7010 7172 7711 8965 11216 13040 14020 14344 15422 17930 28040 28688 30844 35860 38555 56080 61688 71720 77110 114263 123376 143440 154220 228526 308440 457052 571315 616880 914104 1142630 1256893 1828208 2285260 2513786 4570520 5027572 6284465 9141040 10055144 12568930 20110288 25137860 50275720 100551440