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1553003540 = 2251124911307
BaseRepresentation
bin101110010010000…
…1111010000010100
311000020020202100122
41130210033100110
511140032103130
6414034131112
753325212054
oct13444172024
94006222318
101553003540
117276a2600
12374120a98
131b998c80a
1410a37d564
15915192e5
hex5c90f414

1553003540 has 72 divisors (see below), whose sum is σ = 3594792096. Its totient is φ = 563147200.

The previous prime is 1553003537. The next prime is 1553003579. The reversal of 1553003540 is 453003551.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1187567 + ... + 1188873.

It is an arithmetic number, because the mean of its divisors is an integer number (49927668).

Almost surely, 21553003540 is an apocalyptic number.

1553003540 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 1553003540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1797396048).

1553003540 is an abundant number, since it is smaller than the sum of its proper divisors (2041788556).

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

1553003540 is a wasteful number, since it uses less digits than its factorization.

1553003540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1829 (or 1816 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 26.

The square root of 1553003540 is about 39408.1659050507. The cubic root of 1553003540 is about 1158.0415676079.

The spelling of 1553003540 in words is "one billion, five hundred fifty-three million, three thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 491 605 982 1210 1307 1964 2420 2455 2614 4910 5228 5401 6535 9820 10802 13070 14377 21604 26140 27005 28754 54010 57508 59411 71885 108020 118822 143770 158147 237644 287540 297055 316294 594110 632588 641737 790735 1188220 1283474 1581470 2566948 3162940 3208685 6417370 7059107 12834740 14118214 28236428 35295535 70591070 77650177 141182140 155300354 310600708 388250885 776501770 1553003540