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103554140 = 225171032957
BaseRepresentation
bin1100010110000…
…01110001011100
321012212002120112
412023001301130
5203002213030
614135305152
72365124054
oct613016134
9235762515
10103554140
11534a9838
122a81b1b8
13185b9451
14da78564
159157a95
hex62c1c5c

103554140 has 48 divisors (see below), whose sum is σ = 232569792. Its totient is φ = 38593536.

The previous prime is 103554137. The next prime is 103554163. The reversal of 103554140 is 41455301.

It is a super-3 number, since 3×1035541403 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 33542 + ... + 36498.

It is an arithmetic number, because the mean of its divisors is an integer number (4845204).

Almost surely, 2103554140 is an apocalyptic number.

103554140 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 103554140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116284896).

103554140 is an abundant number, since it is smaller than the sum of its proper divisors (129015652).

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

103554140 is a wasteful number, since it uses less digits than its factorization.

103554140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3086 (or 3084 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 103554140 is about 10176.1554626489. The cubic root of 103554140 is about 469.5939453533.

The spelling of 103554140 in words is "one hundred three million, five hundred fifty-four thousand, one hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 103 170 206 340 412 515 1030 1751 2060 2957 3502 5914 7004 8755 11828 14785 17510 29570 35020 50269 59140 100538 201076 251345 304571 502690 609142 1005380 1218284 1522855 3045710 5177707 6091420 10355414 20710828 25888535 51777070 103554140