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1437138040 = 235136145307
BaseRepresentation
bin101010110101000…
…1111110001111000
310201011020011202211
41111222033301320
510420401404130
6354334504504
750420320552
oct12552176170
93634204684
101437138040
11678255098
12341365134
1319b982750
14d8c1c4d2
158627da2a
hex55a8fc78

1437138040 has 64 divisors (see below), whose sum is σ = 3539460960. Its totient is φ = 521925120.

The previous prime is 1437138019. The next prime is 1437138067. The reversal of 1437138040 is 408317341.

It is a super-3 number, since 3×14371380403 (a number of 28 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1437137993 and 1437138011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9067 + ... + 54373.

Almost surely, 21437138040 is an apocalyptic number.

1437138040 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 1437138040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1769730480).

1437138040 is an abundant number, since it is smaller than the sum of its proper divisors (2102322920).

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

1437138040 is a wasteful number, since it uses less digits than its factorization.

1437138040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45392 (or 45388 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 1437138040 is about 37909.6035326143. The cubic root of 1437138040 is about 1128.4946253042.

The spelling of 1437138040 in words is "one billion, four hundred thirty-seven million, one hundred thirty-eight thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 61 65 104 122 130 244 260 305 488 520 610 793 1220 1586 2440 3172 3965 6344 7930 15860 31720 45307 90614 181228 226535 362456 453070 588991 906140 1177982 1812280 2355964 2763727 2944955 4711928 5527454 5889910 11054908 11779820 13818635 22109816 23559640 27637270 35928451 55274540 71856902 110549080 143713804 179642255 287427608 359284510 718569020 1437138040